Question

The right rectangular prism shown below is made of equal-sized cubes. The side length of each cube is 2 1/2 inches. What is the volume in cubic inches, of the right rectangular prism?

Answer 1

The image of the right rectangular prism is missing, so i have attached it.

Answer:

volume of the right rectangular prism = 625 in³

Step-by-step explanation:

The rectangular prism is made of equal-sized cubes. Thus, let's first find the volume of 1 cube.

Formula for volume of one cube is;

V = a³

where

a is the length of one side of the cube

We are told that this length is 2½ inches

Thus;

a = 2½ = 5/2 inches

>> V = (5/2)³

>> V = 125/8 in³

Now, in the rectangular prism attached, if we count the number of cubes we have, it is equal to 40 cubes

Therefore, the volume of the prism is;

Volume of one cube × 40

>> volume of the prism = (125/8) × 40

volume of the prism = 625 in³