Evaluate Heat Device

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Middle School Physical Science › Evaluate Heat Device

Questions 1 - 10
1

A student builds a hot lunch container to keep soup warm. Design: 2 cm foam walls, a tightly sealed lid, and a reflective interior lining (foil) inside a plastic shell. Construction: foam panels glued to form a box, foil taped to the inner walls, and a rubber gasket added around the lid.

Test results: The soup started at $75^\circ\text{C}$. After 5 hours, the soup temperature was $65^\circ\text{C}$. The container held 500 mL of soup. Total cost of materials was $\$18$.

Criteria for success: (1) Keep food at $\ge 60^\circ\text{C}$ for 5 hours, (2) hold 500 mL, (3) cost $<$20$.

Based on the test data, what is the best overall evaluation of this design?

Needs improvement because it met the temperature goal but did not meet the cost goal ($\$18 > $20$).

Success: it met all criteria ($65^\circ\text{C} \ge 60^\circ\text{C}$ at 5 hours, 500 mL capacity, and $\$18 < $20$).

Failure because the temperature dropped from $75^\circ\text{C}$ to $65^\circ\text{C}$ (any drop means it fails).

Needs improvement because $65^\circ\text{C}$ is below the required $60^\circ\text{C}$.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). Evaluating the foam-insulated lunch container systematically: Temperature criterion is "maintain ≥60°C for 5 hours" and test data show 65°C measured after 5 hours, comparing: 65 > 60 so criterion MET ✓ (exceeded requirement by 5°C comfortable margin). Capacity criterion is "hold 500 mL" and container held 500 mL soup, met ✓. Cost constraint is "<$20" and actual cost was $18, comparing: $18 < $20 so constraint MET ✓ (within budget by $2). Overall: all three criteria/constraints satisfied (temperature ✓, capacity ✓, cost ✓), therefore design is SUCCESSFUL and approved for use—the comprehensive insulation approach (foam blocking conduction, sealed lid preventing convection, reflective coating reducing radiation) effectively maintained temperature meeting all requirements. Choice B is correct because it accurately evaluates design as successful when all criteria met (65°C ≥ 60°C, 500 mL = 500 mL, $18 < $20). Choice A incorrectly states 65°C is below 60°C when it's clearly above; Choice C incorrectly claims any temperature drop means failure when the criterion is about final temperature not change; Choice D incorrectly states $18 > $20 when $18 is less than $20. Systematic device evaluation following engineering design process: (1) gather all test data (temperature measurements at required times, capacity verified, cost totaled, safety checked), (2) compare each criterion (temperature: measured vs required, duration: achieved vs needed, capacity: actual vs specified, cost: spent vs budget), (3) determine met or not met for each (objective comparison: 65≥60 is met), (4) make overall determination (all met = approve), and (5) document with evidence. Understanding evaluation rigor: criteria are not suggestions but requirements (design must meet all, not most), thresholds are firm (≥60°C means minimum 60°C), and evidence-based evaluation prevents bias (data show 65°C, criterion requires ≥60°C, must conclude: met).

2

Two hot lunch container designs are compared.

Design A (basic foam): 2 cm foam walls, sealed lid, no reflective lining. Test: started at $75^\circ\text{C}$ and was $58^\circ\text{C}$ after 4 hours. Cost: $\$12$.

Design B (foam + reflective): 2 cm foam walls, sealed lid, reflective interior lining. Test: started at $75^\circ\text{C}$ and was $64^\circ\text{C}$ after 4 hours. Cost: $$18$.

Criteria: Keep food at $\ge 60^\circ\text{C}$ after 4 hours and cost $<\$20$.

Which evaluation is correct?

Design A fails the temperature requirement ($58^\circ\text{C} < 60^\circ\text{C}$) but is within budget; Design B meets both temperature ($64^\circ\text{C} \ge 60^\circ\text{C}$) and budget ($\$18 < $20$).

Design A meets the temperature requirement because $58^\circ\text{C} \ge 60^\circ\text{C}$, but Design B fails.

Design B fails because it is more expensive than Design A, so it cannot be approved.

Both designs fail because both cost more than $\$20$.

Explanation

This question tests understanding of how to evaluate completed heat device designs by systematically comparing test performance data against all established criteria to determine overall success or failure for each design. Device evaluation requires checking each criterion for both designs: (1) temperature criterion (did each maintain required temp? compare measured temps to minimum), (2) cost constraint (was each within budget? compare costs to limit), and then (3) overall determination for each (all criteria met = succeeds, any criterion not met = fails). Design A (basic) achieved 58°C at 4 hours ($12) vs Design B (enhanced) achieved 64°C at 4 hours ($18), both tested against criteria "≥60°C at 4 hours, <$20": Design A failed temperature (58 < 60 ✗) though within budget ($12 < $20 ✓), Design B met both (64 > 60 ✓, $18 < $20 ✓)—comparing overall: Design B is superior because it satisfies all requirements while A fails critical temperature criterion (the 2°C shortfall in A: 58°C vs 60°C needed, means soup would be barely warm, not hot enough for safe comfortable eating). The evaluation shows Design B succeeds despite higher cost ($18 vs $12) because meeting performance criterion is essential (inadequate temperature makes device useless for purpose), and $18 still within budget constraint—this demonstrates that lowest cost isn't always best if performance suffers, but rather best design meets all criteria (performance AND cost) which Design B does and A doesn't. Choice C is correct because it accurately evaluates both designs: correctly identifies A's failure (58°C < 60°C) despite being within budget, and B's success meeting both temperature (64°C ≥ 60°C) and budget ($18 < $20). Choice A incorrectly claims both fail because both cost more than $20 when actually both are under $20 ($12 and $18); Choice B incorrectly states 58°C ≥ 60°C when 58 is less than 60; Choice D incorrectly claims B fails just for being more expensive than A when cost criterion is <$20 not "cheapest". Systematic comparative evaluation: (1) evaluate each design independently against all criteria, (2) Design A: temp 58°C vs ≥60°C → fail, cost $12 vs <$20 → pass, overall → fail (must meet all), (3) Design B: temp 64°C vs ≥60°C → pass, cost $18 vs <$20 → pass, overall → pass, (4) compare: only B meets all requirements. Real engineering decisions require meeting all criteria not just minimizing cost—a cheap design that doesn't work (A at $12 but inadequate temperature) is worse than a slightly more expensive design that works properly (B at $18 meeting all requirements).

3

A student compares two cooler designs for keeping ice from melting.

Design X: 4 cm foam insulation, sealed lid with gasket, white exterior. Test: started with 1000 g ice; after 6 hours, 850 g remained. Cost: $\$45$. Capacity: 12 drinks.

Design Y: 2 cm foam insulation, lid without gasket, dark exterior. Test: started with 1000 g ice; after 6 hours, 780 g remained. Cost: $$40$. Capacity: 12 drinks.

Criteria: (1) $\ge 800$ g ice remaining after 6 hours, (2) hold 12 drinks, (3) cost $<\$50$.

Which recommendation is best supported by the evidence?

Approve Design Y because it is cheaper, even though it has less ice remaining.

Reject Design X because $850\text{ g}$ is too much ice remaining, which means it did not work.

Approve both designs because both are under $\$50$ and hold 12 drinks.

Approve Design X and reject/redo Design Y because X meets all criteria ($850\text{ g} \ge 800\text{ g}$, 12 drinks, $\$45 < $50$) while Y fails the ice requirement ($780\text{ g} < 800\text{ g}$).

Explanation

This question tests understanding of how to evaluate and compare completed heat device designs by systematically checking test performance data against all criteria to determine which designs succeed and which fail, then making appropriate recommendations. Comparative evaluation requires checking each criterion for both designs then determining overall success/failure for each. Design X evaluation: Ice retention criterion "≥800 g remaining after 6 hours" with 850 g remaining, comparing: 850 > 800 → MET ✓ (50 g margin). Capacity "12 drinks" with 12 drinks → MET ✓. Cost "<$50" with $45 → MET ✓. Overall: ALL criteria met = Design X SUCCEEDS. Design Y evaluation: Ice retention criterion "≥800 g remaining" with 780 g remaining, comparing: 780 < 800 → NOT MET ✗ (failed by 20 g). Capacity "12 drinks" with 12 drinks → MET ✓. Cost "<$50" with $40 → MET ✓. Overall: failed ice criterion = Design Y FAILS. Comparing designs: Design X succeeds meeting all criteria (850 g > 800 g, 12 drinks, $45 < $50) while Design Y fails critical ice requirement (780 g < 800 g) despite being cheaper—this demonstrates why systematic evaluation against all criteria matters more than single factors like lowest cost. Design Y's failure stems from inadequate insulation (only 2 cm vs X's 4 cm), no lid gasket (allowing convection), and dark exterior (absorbing rather than reflecting heat). Recommendation: Approve Design X for use and reject Design Y requiring redesign to improve thermal performance. Choice B is correct because it accurately evaluates both designs and makes proper recommendation: approve Design X which meets all criteria (850 g ≥ 800 g, 12 drinks, $45 < $50) and reject/redo Design Y which fails ice requirement (780 g < 800 g). Choice A incorrectly approves both ignoring Y's ice failure; Choice C incorrectly prioritizes cost over meeting requirements; Choice D incorrectly claims too much ice remaining is bad when more ice preserved indicates better performance. Engineering decision discipline: (1) evaluate each design independently against ALL criteria, (2) Design X: 850≥800 ✓, 12=12 ✓, $45<$50 ✓ → PASS, (3) Design Y: 780<800 ✗, 12=12 ✓, $40<$50 ✓ → FAIL, (4) recommend based on complete evaluation not single factors. Cost-performance tradeoff: cheaper isn't better if it fails requirements—Design Y saves $5 but fails to preserve ice adequately making it unsuitable regardless of cost savings; proper engineering selects designs meeting all requirements (Design X) over cheaper designs failing critical criteria (Design Y).

4

Two hot lunch containers were tested.

Design A (materials/features/construction): 2 cm foam walls, sealed lid, no reflective lining. Cost $\$12$.

Design B (materials/features/construction): 2 cm foam walls, sealed lid, reflective interior lining. Cost $$18$.

Performance test data (after 4 hours): A = $58^\circ\text{C}$, B = $64^\circ\text{C}$.

Criteria (requirements):

  • Temperature: $\ge 60^\circ\text{C}$ after 4 hours
  • Cost: less than $\$20$

Which recommendation is best supported by the evidence?​​​

Approve Design A because $58^\circ\text{C}$ is greater than $60^\circ\text{C}$.

Reject both designs because neither stayed above $60^\circ\text{C}$ at 4 hours.

Approve Design B because it meets both criteria ($64^\circ\text{C} \ge 60^\circ\text{C}$ and $\$18 < $20$).

Approve Design A because it is cheaper, even though it is below $60^\circ\text{C}$ at 4 hours.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). The evaluation must be evidence-based: cite actual test data (temp was 65°C at 5 hours), compare to actual requirements (required ≥60°C), and conclude objectively (65>60 therefore met). Design A (no lining) achieved 58°C at 4 hours ($12) vs Design B (with lining) achieved 64°C at 4 hours ($18), both tested against criterion "≥60°C at 4 hours, <$20": Design A failed temperature (58 < 60 ✗) though within budget ($12 < $20 ✓), Design B met both (64 > 60 ✓, $18 < $20 ✓)—comparing overall: approve Design B because it satisfies all requirements. The evaluation recommends Design B despite higher cost because meeting performance is essential, and it fits budget—this shows effective addition of reflective lining reduces radiation loss. Choice C is correct because it accurately evaluates design as successful when all criteria met for B and identifies failure for A. Choice D claims success for A when data show failure: 58°C not ≥60°C, misusing inequality. Systematic device evaluation following engineering design process: (1) gather all test data (temperature measurements at required times, capacity verified, cost totaled, safety checked), (2) compare each criterion (temperature: measured vs required, duration: achieved vs needed, capacity: actual vs specified, cost: spent vs budget), (3) determine met or not met for each (objective comparison: 65≥60 is met, 58≥60 is not met—use inequality correctly), (4) identify strengths (which criteria exceeded? by how much? reliable margins?), (5) identify weaknesses (which failed? shortfalls? root causes from heat transfer analysis?), (6) make overall determination (all met = approve, some failed = improve or reject depending on severity, critical failures = reject outright), and (7) document with evidence (evaluation report: criterion-by-criterion with data, overall recommendation with reasoning). Understanding evaluation rigor: criteria are not suggestions but requirements (design must meet all, not most), thresholds are firm (≥60°C means minimum 60°C, 59.9°C is failure—not "close enough"), and evidence-based evaluation prevents bias (data show 58°C, criterion requires ≥60°C, must conclude: not met—cannot claim success based on "seems good" when data show inadequate).

5

A student tested a hot lunch container.

Design (materials/features/construction): 2 cm foam walls, sealed lid with gasket, reflective interior lining.

Performance test data: Started at $75^\circ\text{C}$. After 5 hours it was $65^\circ\text{C}$. Capacity was 500 mL. Cost was $\$21$.

Criteria (requirements):

  • Temperature: $\ge 60^\circ\text{C}$ after 5 hours
  • Capacity: 500 mL
  • Cost: less than $$20$

Which choice correctly explains whether the design meets all requirements?​​​

SUCCESS: Cost is a non-critical criterion, so going $\$1$ over budget automatically counts as meeting all requirements.

FAILURE: It failed the temperature requirement because the temperature decreased from $75^\circ\text{C}$.

SUCCESS: It met temperature and capacity, and $\$21$ is less than $$20$.

Needs improvement: It met temperature ($65^\circ\text{C} \ge 60^\circ\text{C}$) and capacity (500 mL), but failed the cost criterion ($\$21$ is not less than $$20$).

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). The evaluation must be evidence-based: cite actual test data (temp was 65°C at 5 hours), compare to actual requirements (required ≥60°C), and conclude objectively (65>60 therefore met). The container evaluation reveals: Cost constraint "<$20" but actual was $21, comparing: $21 > $20 so constraint NOT MET ✗ (exceeded by $1). Temperature "≥60°C at 5 hours" at 65°C met ✓, capacity "500 mL" met ✓. Overall: failed cost constraint despite meeting performance—design is INADEQUATE, needs improvement (use cheaper materials or simplify to reduce cost). Choice B is correct because it correctly identifies needs improvement when criterion not satisfied. Choice A evaluates as successful when clearly failed criterion: $21 not < $20 is failure. Systematic device evaluation following engineering design process: (1) gather all test data (temperature measurements at required times, capacity verified, cost totaled, safety checked), (2) compare each criterion (temperature: measured vs required, duration: achieved vs needed, capacity: actual vs specified, cost: spent vs budget), (3) determine met or not met for each (objective comparison: 65≥60 is met, 58≥60 is not met—use inequality correctly), (4) identify strengths (which criteria exceeded? by how much? reliable margins?), (5) identify weaknesses (which failed? shortfalls? root causes from heat transfer analysis?), (6) make overall determination (all met = approve, some failed = improve or reject depending on severity, critical failures = reject outright), and (7) document with evidence (evaluation report: criterion-by-criterion with data, overall recommendation with reasoning). If same test showed: (1) temperature 55°C vs ≥60°C → NOT MET ✗ (shortfall 5°C), evaluation changes to: failed critical criterion, design INADEQUATE, needs improvement (thicker insulation to reduce heat loss rate), not approved for use until improved—single criterion failure (especially critical performance criterion) prevents approval even if cost and other criteria met.

6

A cooler (4 cm foam insulation, sealed lid, white exterior) was tested with 1000 g of ice. After 6 hours, 850 g of ice remained. It holds 12 drinks and cost $\$45$.

Criteria:

  • $\ge 800$ g ice remaining after 6 hours
  • Holds 12 drinks
  • Cost < $$50$

Based on the evaluation, what is the best overall conclusion about the cooler’s effectiveness?

It is a failure because $850$ g is less than the required $800$ g.

It is effective (SUCCESS) because it met all criteria: $850 > 800$, holds 12 drinks, and $\$45 < $50$.

It should be rejected because the cost must be exactly $\$50$ to pass.

It needs improvement because some ice melted, so it did not meet the ice criterion.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). Evaluating the cooler systematically: Ice criterion is "≥800 g remaining after 6 hours" and test shows 850 g remaining, comparing: 850 > 800 so criterion MET ✓ (exceeded by 50 g). Capacity criterion is "holds 12 drinks" and cooler holds 12 drinks exactly, MET ✓. Cost constraint is "<$50" and actual cost was $45, comparing: $45 < $50 so constraint MET ✓ (under budget by $5). Overall: all three criteria/constraints satisfied (ice retention ✓, capacity ✓, cost ✓), therefore design is SUCCESSFUL/EFFECTIVE—the 4 cm foam insulation with sealed lid effectively minimized heat transfer to preserve adequate ice mass. Choice C is correct because it accurately concludes the cooler is effective/successful based on meeting all criteria, correctly identifying that 850 > 800 for ice, holds required 12 drinks, and $45 < $50 for cost. Choice A incorrectly claims failure because some ice melted, ignoring that 850 g remaining exceeds 800 g requirement; Choice B incorrectly states 850 < 800 when 850 is clearly greater; Choice D incorrectly requires cost to be exactly $50 when criterion is "less than $50". Systematic overall conclusion: when ALL criteria are met (each evaluated as ✓), the design is successful/effective and approved; any criterion not met (✗) would require improvement or cause failure. Understanding success determination: engineering success means meeting all requirements—the cooler succeeds because it satisfies every criterion with data-supported evidence (850 g > 800 g, 12 drinks = 12 drinks, $45 < $50).

7

A student’s hot lunch container has 2 cm foam walls, a sealed lid, and reflective lining. In testing with 500 mL of soup, it started at $75^\circ\text{C}$ and was $65^\circ\text{C}$ after 5 hours. It cost $\$18$.

Criteria:

  • $\ge 60^\circ\text{C}$ after 5 hours
  • 500 mL capacity
  • Cost < $$20$

Which option correctly lists the met/not met results for ALL criteria?

Temperature: met ✓; Capacity: not met ✗; Cost: met ✓.

Temperature: met ✓; Capacity: met ✓; Cost: not met ✗.

Temperature: not met ✗; Capacity: met ✓; Cost: met ✓.

Temperature: met ✓; Capacity: met ✓; Cost: met ✓.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). Systematic evaluation of each criterion: Temperature criterion "≥60°C after 5 hours" with actual 65°C: comparing 65 ≥ 60 is TRUE, so MET ✓. Capacity criterion "500 mL" with actual 500 mL: comparing 500 = 500 is TRUE, so MET ✓. Cost criterion "<$20" with actual $18: comparing $18 < $20 is TRUE, so MET ✓. Overall evaluation summary: Temperature met ✓, Capacity met ✓, Cost met ✓—all three criteria satisfied. Choice A is correct because it accurately lists all three criteria as met, correctly evaluating that 65°C ≥ 60°C (temperature met), 500 mL = 500 mL (capacity met), and $18 < $20 (cost met). Choice B incorrectly marks temperature as not met when 65°C clearly exceeds 60°C; Choice C incorrectly marks capacity as not met when 500 mL exactly meets requirement; Choice D incorrectly marks cost as not met when $18 is clearly less than $20. Systematic criterion-by-criterion evaluation: evaluate each criterion independently using the specific comparison (≥, =, <) required, mark as met ✓ or not met ✗, then compile complete evaluation summary. Understanding complete evaluation documentation: proper evaluation records the pass/fail status of every criterion to provide clear evidence for overall approval decision—all criteria must be explicitly evaluated and documented.

8

A cooler was built with 4 cm foam insulation, a sealed lid, and a white exterior. It was tested by placing 1000 g of ice inside. After 6 hours, 850 g of ice remained (so 150 g melted). The cooler holds 12 drinks and cost $\$45$.

Criteria:

  • At least 800 g of ice remaining after 6 hours
  • Holds 12 drinks
  • Cost less than $$50$

Which evaluation is correct?

FAILURE—because the cost must be more than $\$50$ to be considered effective.

SUCCESS—850 g remaining $> 800$ g, it holds 12 drinks, and $\$45 < $50$.

FAILURE—because 150 g melted, and any melted ice means the cooler failed.

NEEDS IMPROVEMENT—because 850 g remaining is less than the 800 g requirement.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). Evaluating the cooler systematically: Ice criterion is "at least 800 g remaining after 6 hours" and test data show 850 g remaining, comparing: 850 > 800 so criterion MET ✓ (exceeded requirement by 50 g, good margin). Capacity criterion is "holds 12 drinks" and cooler holds 12 drinks, met ✓. Cost constraint is "less than $50" and actual cost was $45, comparing: $45 < $50 so constraint MET ✓ (within budget by $5). Overall: all three criteria/constraints satisfied (ice retention ✓, capacity ✓, cost ✓), therefore design is SUCCESSFUL—the 4 cm foam insulation effectively slowed heat transfer to preserve ice mass above minimum requirement. Choice A is correct because it accurately evaluates design as successful when all criteria met, correctly identifying that 850 g > 800 g satisfies ice retention, holds required 12 drinks, and $45 < $50 satisfies cost constraint. Choice B incorrectly claims any melted ice means failure when the criterion allows up to 200 g melting (1000-800=200 g allowed, only 150 g melted); Choice C incorrectly states 850 g is less than 800 g when it's clearly more; Choice D incorrectly states cost must be more than $50 when criterion requires less than $50. Systematic device evaluation following engineering design process: (1) gather all test data (ice mass measurements at required times, capacity verified, cost totaled), (2) compare each criterion (ice remaining: measured vs required minimum, capacity: actual vs specified, cost: spent vs budget), (3) determine met or not met for each (objective comparison: 850≥800 is met—use inequality correctly), (4) make overall determination (all met = approve), and (5) document with evidence. Understanding evaluation rigor: criteria are not suggestions but requirements (design must meet all, not most), thresholds are firm (≥800 g means minimum 800 g), and evidence-based evaluation prevents bias (data show 850 g, criterion requires ≥800 g, must conclude: met—cannot claim failure based on "some ice melted" when data show adequate retention).

9

Two hot lunch container designs were tested for keeping food warm.

Design A: basic foam insulation, cost $\$12$, temperature after 4 hours = $58^\circ\text{C}$. Design B: foam insulation + reflective interior lining, cost $$18$, temperature after 4 hours = $64^\circ\text{C}$.

Criteria:

  • Temperature must be at least $60^\circ\text{C}$ after 4 hours
  • Cost must be less than $\$20$

Which statement best compares the designs to the criteria?

Design B fails the cost criterion because $\$18$ is not less than $$20$.

Design A fails the temperature criterion ($58 < 60$), while Design B meets both ($64 > 60$ and $\$18 < $20$).

Both designs meet both criteria because both cost less than $\$20$.

Design A meets both criteria, but Design B fails the temperature requirement.

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp at specified time to minimum/maximum required), (2) capacity criterion (did it hold required volume/quantity? verify with measurements), (3) cost constraint (was it built within budget? sum component costs, compare to limit), (4) size/safety constraints (appropriate dimensions? no hazards?), and then (5) overall determination (all criteria met AND all constraints satisfied = design succeeds and is approved for use, any criterion not met OR any constraint violated = design needs improvement or fails and requires modification). Design A (basic) achieved 58°C at 4 hours ($12) vs Design B (enhanced) achieved 64°C at 4 hours ($18), both tested against criteria "≥60°C at 4 hours, <$20": Design A failed temperature (58 < 60 ✗) though within budget ($12 < $20 ✓), Design B met both (64 > 60 ✓, $18 < $20 ✓)—comparing overall: Design B is superior because it satisfies all requirements while A fails critical temperature criterion (the 2°C shortfall in A: 58°C vs 60°C needed, means food would be barely warm, not hot enough for safe comfortable eating). The evaluation demonstrates that lowest cost isn't always best if performance suffers, but rather best design meets all criteria (performance AND cost) which Design B does and A doesn't. Choice C is correct because it accurately compares both designs to all requirements systematically, correctly identifying that Design A fails temperature criterion (58 < 60) while Design B meets both temperature (64 > 60) and cost ($18 < $20) criteria. Choice A incorrectly claims both meet both criteria when Design A clearly fails temperature; Choice B incorrectly states Design B fails temperature when 64°C > 60°C clearly meets it; Choice D incorrectly claims $18 is not less than $20 when it clearly is. Systematic device evaluation following engineering design process: compare each design against each criterion independently, then determine overall success—Design A: temperature 58 < 60 ✗, cost $12 < $20 ✓, overall FAIL (one criterion not met); Design B: temperature 64 > 60 ✓, cost $18 < $20 ✓, overall SUCCESS (all criteria met). Understanding comparative evaluation: when multiple designs exist, evaluate each independently against criteria, then compare overall results—the design meeting all criteria is superior to one failing any criterion, regardless of how much better it performs on other criteria.

10

A student builds a hot drink thermos. Design: double-wall plastic cup with a 1 cm foam layer between walls, screw-on lid with silicone seal, and reflective tape wrapped around the inside wall facing the drink.

Test results: The drink started at $80^\circ\text{C}$. After 3 hours, it was $61^\circ\text{C}$. Capacity is 400 mL. Cost is $\$21$.

Criteria: (1) Maintain $\ge 60^\circ\text{C}$ for 3 hours, (2) capacity $\ge 400$ mL, (3) cost $<$20$.

Which statement is the best evaluation?

Success because it met the temperature ($61^\circ\text{C} \ge 60^\circ\text{C}$) and capacity (400 mL) criteria, even though cost is $\$21$.

Success because the starting temperature was high enough that cost does not matter.

Needs improvement because it failed the cost criterion ($\$21 \not< $20$) even though it met temperature and capacity.

Failure because it did not meet the temperature criterion ($61^\circ\text{C} < 60^\circ\text{C}$).

Explanation

This question tests understanding of how to evaluate a completed heat device design by systematically comparing test performance data against all established criteria to determine overall success or failure. Device evaluation requires checking each criterion: (1) temperature criterion (did device maintain required temp for required duration? compare measured temp to minimum), (2) capacity criterion (did it hold required volume? verify measurements), (3) cost constraint (was it built within budget? compare to limit), and then (4) overall determination (all criteria met = succeeds, any criterion not met = needs improvement or fails). Evaluating the double-wall thermos systematically: Temperature criterion is "maintain ≥60°C for 3 hours" and test data show 61°C after 3 hours, comparing: 61 > 60 so criterion MET ✓ (exceeded requirement by 1°C minimal but adequate margin). Capacity criterion is "≥400 mL" and thermos holds 400 mL, comparing: 400 = 400 so criterion MET ✓. Cost constraint is "<$20" and actual cost was $21, comparing: $21 > $20 so constraint NOT MET ✗ (over budget by $1). Overall: failed cost constraint despite meeting performance criteria—design NEEDS IMPROVEMENT to reduce cost while maintaining performance (current design effective for temperature/capacity but exceeds budget, need to find $1 savings: perhaps thinner foam 0.8 cm instead of 1 cm, or less expensive lid seal, or eliminate some reflective tape while still meeting temperature requirement). Choice B is correct because it properly identifies that design needs improvement due to failing cost criterion ($21 not < $20) even though temperature and capacity criteria were met. Choice A incorrectly calls it success ignoring the failed cost constraint; Choice C incorrectly states 61°C < 60°C when 61 is greater than 60; Choice D incorrectly suggests starting temperature makes cost irrelevant when all criteria must be met. Systematic device evaluation following engineering design process: (1) gather all test data (temperature after 3 hours, capacity, total cost), (2) compare each criterion (temp: 61°C vs ≥60°C → met, capacity: 400 mL vs ≥400 mL → met, cost: $21 vs <$20 → not met), (3) overall determination (one constraint failed = needs improvement). Understanding evaluation completeness: all criteria matter equally—excellent thermal performance (61°C maintained) cannot excuse budget overrun ($21 > $20), just as staying within budget wouldn't excuse poor thermal performance; engineering requires meeting ALL specifications not just favorite ones.

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