Chapter 12.1, Problem 32WE

To determine

To find: the volume of prism.

Answer to Problem 32WE

The volume of prism is $288m^3$ .

Explanation of Solution

Given information:

A right prism has square bases with edges that are three times as long as the lateral edges and the total area is ${\text{750m}}^2$ .

Calculation: let the lateral edges is $x$ ,

Thus, the edges of square is $3x$ .

To find the area multiply the base area and height,

  $\begin{array}{l}v=bh\\ v=\frac{5+11}{2}\left(4\right)\left(9\right)\text{ [substitute]}\\ v=288m^3\text{ [simplify]}\end{array}$

Thus, The volume of prism is $288m^3$ .