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?

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 length $l$ and width $w$ of the base - rectangle, by counting the grid - squares, we find the area of the base $A = 12$ square inches.

Step2: Identify height

The distance between the bases of a rectangular prism is the height $h$ of the prism. Given that the distance between the bases $h = 8$ inches.

Step3: Use volume formula

The volume formula for a rectangular prism is $V=A\times h$. Substitute $A = 12$ square inches and $h = 8$ inches into the formula. So $V=12\times8=96$ cubic inches.

Answer:

96 cubic inches