Question

It takes 154 cubes with side lengths of 12 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your solution.

Answer 1

Answer:

266,112 in^3

Step-by-step explanation:

First let's find the volume of each cube.

Volume = l × w × h. Because this shape is a cube, we know all the measurements will be the same.

12 × 12 × 12 = 1,728

So, the volume of a single cube is 1,728 cubic inches.

However, there are 154 of these cubes in the prism, so let's multiply 1,728 by 154.

1,728 × 154 = 266,112

The volume of the rectangular prism is 266,112 cubic inches.