Find Volume of Composite Figures - 5th Grade Math
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State the formula for the volume of a right rectangular prism with $l$, $w$, and $h$.
State the formula for the volume of a right rectangular prism with $l$, $w$, and $h$.
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$V = l \times w \times h$. Volume equals length times width times height for rectangular prisms.
$V = l \times w \times h$. Volume equals length times width times height for rectangular prisms.
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Find total volume: prism A $l=3,w=3,h=3$ and prism B $l=3,w=3,h=1$.
Find total volume: prism A $l=3,w=3,h=3$ and prism B $l=3,w=3,h=1$.
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$36\text{ cubic units}$. A: $3 \times 3 \times 3 = 27$; B: $3 \times 3 \times 1 = 9$; Total: $36$.
$36\text{ cubic units}$. A: $3 \times 3 \times 3 = 27$; B: $3 \times 3 \times 1 = 9$; Total: $36$.
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Find the volume of prism A if $l=7$, $w=2$, $h=1$.
Find the volume of prism A if $l=7$, $w=2$, $h=1$.
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$14\text{ cubic units}$. Apply $V = l \times w \times h = 7 \times 2 \times 1 = 14$.
$14\text{ cubic units}$. Apply $V = l \times w \times h = 7 \times 2 \times 1 = 14$.
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A storage box is made of two non-overlapping prisms with volumes $48\text{ in}^3$ and $20\text{ in}^3$. What is total?
A storage box is made of two non-overlapping prisms with volumes $48\text{ in}^3$ and $20\text{ in}^3$. What is total?
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$68\text{ in}^3$. Add the volumes: $48 + 20 = 68$ cubic inches.
$68\text{ in}^3$. Add the volumes: $48 + 20 = 68$ cubic inches.
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Find total volume: prism A $V=16$ and prism B has $l=2,w=2,h=3$.
Find total volume: prism A $V=16$ and prism B has $l=2,w=2,h=3$.
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$28\text{ cubic units}$. B: $2 \times 2 \times 3 = 12$; Total: $16 + 12 = 28$.
$28\text{ cubic units}$. B: $2 \times 2 \times 3 = 12$; Total: $16 + 12 = 28$.
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State the formula for prism volume using base area $B$ and height $h$.
State the formula for prism volume using base area $B$ and height $h$.
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$V = B \times h$. Volume equals base area times height for any prism.
$V = B \times h$. Volume equals base area times height for any prism.
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Identify the volume of a prism with base area $B=15$ and height $h=2$.
Identify the volume of a prism with base area $B=15$ and height $h=2$.
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$30\text{ cubic units}$. Volume equals base area times height: $15 \times 2 = 30$.
$30\text{ cubic units}$. Volume equals base area times height: $15 \times 2 = 30$.
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A solid is split into two non-overlapping prisms with volumes $12$ and $27$. What is total volume?
A solid is split into two non-overlapping prisms with volumes $12$ and $27$. What is total volume?
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$39\text{ cubic units}$. Add the volumes: $12 + 27 = 39$ cubic units.
$39\text{ cubic units}$. Add the volumes: $12 + 27 = 39$ cubic units.
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Find total volume: prism A $l=4,w=4,h=1$ and prism B $l=4,w=2,h=1$.
Find total volume: prism A $l=4,w=4,h=1$ and prism B $l=4,w=2,h=1$.
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$24\text{ cubic units}$. A: $4 \times 4 \times 1 = 16$; B: $4 \times 2 \times 1 = 8$; Total: $24$.
$24\text{ cubic units}$. A: $4 \times 4 \times 1 = 16$; B: $4 \times 2 \times 1 = 8$; Total: $24$.
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Identify the correct expression for total volume of two prisms with volumes $V_1$ and $V_2$.
Identify the correct expression for total volume of two prisms with volumes $V_1$ and $V_2$.
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$V_{\text{total}} = V_1 + V_2$. Total volume equals sum of individual volumes for non-overlapping prisms.
$V_{\text{total}} = V_1 + V_2$. Total volume equals sum of individual volumes for non-overlapping prisms.
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Find the missing volume of prism B if total is $60$ and prism A is $28$ cubic units.
Find the missing volume of prism B if total is $60$ and prism A is $28$ cubic units.
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$32\text{ cubic units}$. Subtract: $60 - 28 = 32$ cubic units for prism B.
$32\text{ cubic units}$. Subtract: $60 - 28 = 32$ cubic units for prism B.
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What is the volume of prism A if $l=8$, $w=1$, $h=4$?
What is the volume of prism A if $l=8$, $w=1$, $h=4$?
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$32\text{ cubic units}$. Apply $V = l \times w \times h = 8 \times 1 \times 4 = 32$.
$32\text{ cubic units}$. Apply $V = l \times w \times h = 8 \times 1 \times 4 = 32$.
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Find the total volume of two prisms: A is $l=6,w=2,h=2$ and B is $l=3,w=2,h=2$.
Find the total volume of two prisms: A is $l=6,w=2,h=2$ and B is $l=3,w=2,h=2$.
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$36\text{ cubic units}$. A: $6 \times 2 \times 2 = 24$; B: $3 \times 2 \times 2 = 12$; Total: $36$.
$36\text{ cubic units}$. A: $6 \times 2 \times 2 = 24$; B: $3 \times 2 \times 2 = 12$; Total: $36$.
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What is the volume of prism B if $l=5$, $w=2$, and $h=3$?
What is the volume of prism B if $l=5$, $w=2$, and $h=3$?
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$30\text{ cubic units}$. Apply $V = l \times w \times h = 5 \times 2 \times 3 = 30$.
$30\text{ cubic units}$. Apply $V = l \times w \times h = 5 \times 2 \times 3 = 30$.
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Identify the correct unit for volume when lengths are measured in centimeters.
Identify the correct unit for volume when lengths are measured in centimeters.
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$\text{cm}^3$. Cubic centimeters for 3D volume when using cm lengths.
$\text{cm}^3$. Cubic centimeters for 3D volume when using cm lengths.
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What is the total volume of two non-overlapping prisms with volumes $35$ and $9$?
What is the total volume of two non-overlapping prisms with volumes $35$ and $9$?
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$44\text{ cubic units}$. Add the volumes: $35 + 9 = 44$ cubic units.
$44\text{ cubic units}$. Add the volumes: $35 + 9 = 44$ cubic units.
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Find the total volume if prism A is $24$ and prism B is $18$ cubic units.
Find the total volume if prism A is $24$ and prism B is $18$ cubic units.
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$42\text{ cubic units}$. Add the volumes: $24 + 18 = 42$ cubic units.
$42\text{ cubic units}$. Add the volumes: $24 + 18 = 42$ cubic units.
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What is the volume of prism A if $l=4$, $w=3$, and $h=2$?
What is the volume of prism A if $l=4$, $w=3$, and $h=2$?
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$24\text{ cubic units}$. Apply $V = l \times w \times h = 4 \times 3 \times 2 = 24$.
$24\text{ cubic units}$. Apply $V = l \times w \times h = 4 \times 3 \times 2 = 24$.
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Identify the condition needed to add volumes of two prisms without adjustment.
Identify the condition needed to add volumes of two prisms without adjustment.
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The prisms must be non-overlapping. Prisms can't share any common space to simply add volumes.
The prisms must be non-overlapping. Prisms can't share any common space to simply add volumes.
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What does it mean to say volume is additive for non-overlapping prisms?
What does it mean to say volume is additive for non-overlapping prisms?
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Total volume equals the sum of the separate prism volumes. Add individual volumes when prisms don't share any space.
Total volume equals the sum of the separate prism volumes. Add individual volumes when prisms don't share any space.
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