Question

volume of a rectangular prism
use the figures below to answer the questions.
the shaded portions of the 3d figure represent the 2d figure we will use as the parallel bases.
round your final results to two decimal places as needed.
figure a: 3 - dimensional figure
figure b: 2 - dimensional view of base
what is the area of the base of the rectangular prism?
what is the distance between the bases of the rectangular prism?
what is the volume of the rectangular prism?
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Explanation:

Step1: Find base - area formula

The base of a rectangular prism is a rectangle. The area formula for a rectangle is $A = l\times w$. From Figure B, if we assume the side - lengths of the square base are 4 inches (since it appears to be 4 units on the grid), then $A=4\times4 = 16$ square inches.

Step2: Identify height

The distance between the bases of a rectangular prism is the height $h$ of the prism. Given $h = 10$ inches.

Step3: Find volume formula

The volume formula of a rectangular prism is $V=A\times h$.

Step4: Calculate volume

Substitute $A = 16$ square inches and $h = 10$ inches into the volume formula: $V=16\times10=160$ cubic inches.

Answer:

160.00 cubic inches