Question

A right rectangular prism has a volume of 144 cubic meters. The prism is 8 meters long and 3 meters high. What is the width of the prism? A. 4 m B. 5 m C. 6 m D. 8 m

Answer 1

The answer is B, because of the rectangular prism has 144 cubic meters of volume and 8 meters long and 3 meters high, in order for the total to equal 144, you need the width of the prism to be 5m .

Answer 2

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Explanation:

we know that

The volume of a rectangular prism is equal to

where

B is the area of the rectangular base

h is the height of the prism

In this problem we have

substitute and solve for B

-----> area of the rectangular base

therefore

The possible lengths and widths of the prism will be all those positive ordered pairs whose multiplication is equal to

Explanation: