Apply Volume Formulas to Prisms - 5th Grade Math
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A box is $5$ ft long, $4$ ft wide, and $3$ ft high. What is its volume?
A box is $5$ ft long, $4$ ft wide, and $3$ ft high. What is its volume?
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$60\ \text{ft}^3$. Apply $V = 5 \times 4 \times 3 = 60$.
$60\ \text{ft}^3$. Apply $V = 5 \times 4 \times 3 = 60$.
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Find the volume of a prism with base area $b=20$ square units and height $h=4$ units.
Find the volume of a prism with base area $b=20$ square units and height $h=4$ units.
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$80$ cubic units. Apply $V = 20 \times 4 = 80$.
$80$ cubic units. Apply $V = 20 \times 4 = 80$.
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Find the volume of a prism with $l=7$, $w=2$, and $h=3$ (units).
Find the volume of a prism with $l=7$, $w=2$, and $h=3$ (units).
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$42$ cubic units. Apply $V = 7 \times 2 \times 3 = 42$.
$42$ cubic units. Apply $V = 7 \times 2 \times 3 = 42$.
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Find the volume of a prism with $l=4$, $w=3$, and $h=2$ (units).
Find the volume of a prism with $l=4$, $w=3$, and $h=2$ (units).
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$24$ cubic units. Apply $V = 4 \times 3 \times 2 = 24$.
$24$ cubic units. Apply $V = 4 \times 3 \times 2 = 24$.
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What is the volume unit for a prism measured in centimeters (cm)?
What is the volume unit for a prism measured in centimeters (cm)?
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cubic centimeters ($\text{cm}^3$). Volume uses cubic units of the linear measurement.
cubic centimeters ($\text{cm}^3$). Volume uses cubic units of the linear measurement.
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What does $b$ represent in the formula $V = b \times h$ for a rectangular prism?
What does $b$ represent in the formula $V = b \times h$ for a rectangular prism?
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$b$ is the area of the base. In this formula, base area replaces $l \times w$.
$b$ is the area of the base. In this formula, base area replaces $l \times w$.
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Find the missing length if $V=48$, $w=4$, and $h=3$ (units).
Find the missing length if $V=48$, $w=4$, and $h=3$ (units).
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$l = 4$ units. Solve $48 = l \times 4 \times 3$ for $l$.
$l = 4$ units. Solve $48 = l \times 4 \times 3$ for $l$.
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Find the missing width if $V=90$, $l=5$, and $h=3$ (units).
Find the missing width if $V=90$, $l=5$, and $h=3$ (units).
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$w = 6$ units. Solve $90 = 5 \times w \times 3$ for $w$.
$w = 6$ units. Solve $90 = 5 \times w \times 3$ for $w$.
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Identify the error: A student says $V = l + w + h$ for a rectangular prism. What is correct?
Identify the error: A student says $V = l + w + h$ for a rectangular prism. What is correct?
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$V = l \times w \times h$. Volume requires multiplication, not addition of dimensions.
$V = l \times w \times h$. Volume requires multiplication, not addition of dimensions.
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Find the volume of a prism with base area $b=25$ square units and height $h=2$ units.
Find the volume of a prism with base area $b=25$ square units and height $h=2$ units.
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$50$ cubic units. Apply $V = 25 \times 2 = 50$.
$50$ cubic units. Apply $V = 25 \times 2 = 50$.
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Find the volume of a prism with $l=10$ units, $w=1$ unit, and $h=6$ units.
Find the volume of a prism with $l=10$ units, $w=1$ unit, and $h=6$ units.
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$60$ cubic units. Apply $V = 10 \times 1 \times 6 = 60$.
$60$ cubic units. Apply $V = 10 \times 1 \times 6 = 60$.
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A right rectangular prism has volume $V=96$. If $l=8$ and $w=4$, what is $h$?
A right rectangular prism has volume $V=96$. If $l=8$ and $w=4$, what is $h$?
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$h = 3$ units. Solve $96 = 8 \times 4 \times h$ for $h$.
$h = 3$ units. Solve $96 = 8 \times 4 \times h$ for $h$.
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Which expression correctly represents the volume when $l=8$, $w=3$, and $h=2$?
Which expression correctly represents the volume when $l=8$, $w=3$, and $h=2$?
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$8 \times 3 \times 2$. Volume formula requires multiplication, not addition.
$8 \times 3 \times 2$. Volume formula requires multiplication, not addition.
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A prism has $l=9$ units and $w=4$ units. What is the base area $b$?
A prism has $l=9$ units and $w=4$ units. What is the base area $b$?
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$b = 36$ square units. Base area equals $l \times w = 9 \times 4$.
$b = 36$ square units. Base area equals $l \times w = 9 \times 4$.
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A prism has base area $b=12$ square units and volume $V=60$ cubic units. Find $h$.
A prism has base area $b=12$ square units and volume $V=60$ cubic units. Find $h$.
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$h = 5$ units. Divide volume by base area: $60 \div 12 = 5$.
$h = 5$ units. Divide volume by base area: $60 \div 12 = 5$.
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Find the missing height if $V=72$ cubic units and base area $b=9$ square units.
Find the missing height if $V=72$ cubic units and base area $b=9$ square units.
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$h = 8$ units. Divide volume by base area: $72 \div 9 = 8$.
$h = 8$ units. Divide volume by base area: $72 \div 9 = 8$.
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Identify the base area if a prism has $l=6$ units and $w=5$ units.
Identify the base area if a prism has $l=6$ units and $w=5$ units.
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$b = 30$ square units. Base area equals $l \times w = 6 \times 5$.
$b = 30$ square units. Base area equals $l \times w = 6 \times 5$.
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A storage bin has base area $b=18\ \text{in}^2$ and height $h=5$ in. What is its volume?
A storage bin has base area $b=18\ \text{in}^2$ and height $h=5$ in. What is its volume?
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$90\ \text{in}^3$. Apply $V = 18 \times 5 = 90$.
$90\ \text{in}^3$. Apply $V = 18 \times 5 = 90$.
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If the base is $l \times w$ and the height is $h$, what is $V$ written using $b$?
If the base is $l \times w$ and the height is $h$, what is $V$ written using $b$?
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$V = b \times h$ with $b = l \times w$. Substitute base area for length times width.
$V = b \times h$ with $b = l \times w$. Substitute base area for length times width.
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A prism has $l=3$, $w=3$, and $h=3$. What is its volume?
A prism has $l=3$, $w=3$, and $h=3$. What is its volume?
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$27$ cubic units. A cube with side 3: $V = 3 \times 3 \times 3 = 27$.
$27$ cubic units. A cube with side 3: $V = 3 \times 3 \times 3 = 27$.
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