Question

Cole has a rectangular prism that measures 5 inches by 6 inches. He says that by changing one dimension, he can make a prism with a volume of 240 cubic inches. What are three ways Cole can do this?

Answer 1

The ways are described below.

Explanation:

Given a rectangular prism whose given measures are 5 inches by 6 inches. Let these are length and width. Now, he says that by changing one dimension, he can make a prism with a volume of 240 cubic inches. we have to gives the 3 ways Cole can do this.

As volume of rectangular prism is V=lwh

`240=5* 6* 8`

∴ the dimensions of rectangular prism are 5, 6 and 8 inches.

One way Cole can make a prism with volume of 240 cubic inches is to take height 8 inches while the other two length 5 inches and width 6 inches.

Second way Cole can make a prism with volume of 240 cubic inches is to take height 6 inches while the other two length 5 inches and width 8 inches.

Third way Cole can make a prism with volume of 240 cubic inches is to take height 5 inches while the other two length 8 inches and width 6 inches.

Above all the three ways gives three different prism with volume 240 cubic inches.