Question

$v=l \times w \times h$
(5) in your own words, describe what the volume of a figure tells you about that figure.

find the volume of each rectangular prism.
(6)
(7)
(8)
(9)

Explanation:

(Question 5):
Volume describes the total 3-dimensional space that a closed figure can occupy or contain; it measures how much the figure can hold or the amount of space it takes up.

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(Questions 6-9):

Step1: Apply volume formula $V=l\times w\times h$

For rectangular prism (6):
$V = 12 \times 4 \times 3$

Step2: Calculate the product

$V = 144$
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Step1: Apply volume formula $V=l\times w\times h$

For rectangular prism (7):
$V = 13 \times 3 \times 6$

Step2: Calculate the product

$V = 234$
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Step1: Apply volume formula $V=l\times w\times h$

For rectangular prism (8):
$V = 7 \times 7 \times 7$

Step2: Calculate the product

$V = 343$
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Step1: Apply volume formula $V=l\times w\times h$

For rectangular prism (9):
$V = 6 \times 7 \times 4$

Step2: Calculate the product

$V = 168$

Answer:

1. (5) Volume tells you the total amount of three-dimensional space that a rectangular prism (or any 3D figure) occupies, or how much it can hold.
2. (6) $144$ cubic inches
3. (7) $234$ cubic centimeters
4. (8) $343$ cubic meters
5. (9) $168$ cubic meters