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? select an answer
what is the distance between the bases of the rectangular prism? select an answer
what is the volume of the rectangular prism? select an answer

Explanation:

Step1: Find base - area

Count the grid - squares in the 2 - D base figure. Assume each grid - square has an area of 1 square inch. The base is a rectangle. If we count the squares, the length of the base rectangle is 4 inches and the width is 3 inches. The area formula for a rectangle is $A = l\times w$. So, $A=4\times3 = 12$ square inches.

Step2: Determine distance between bases

From the 3 - D figure, the distance between the bases is given as 8 inches.

Step3: Calculate volume

The volume formula for a rectangular prism is $V=A\times h$, where $A$ is the base area and $h$ is the height (distance between bases). Substituting $A = 12$ square inches and $h = 8$ inches, we get $V=12\times8=96$ cubic inches.

Answer:

What is the area of the base of the rectangular prism? 12 square inches
What is the distance between the bases of the rectangular prism? 8 inches
What is the volume of the rectangular prism? 96 cubic inches