Chapter 12.1, Problem 14WE

To determine

To find: the height of the prism.

Answer to Problem 14WE

The height of the prism is $8\text{cm}$ .

Explanation of Solution

Given information:

the base edges are $4\text{cm,5cm,6cm}$ and lateral area is $120{\text{cm}}^2$ .

Calculation: to find the height, add all the base edges then divide the lateral area by result,

  $\begin{array}{l}L.A.=\left(4+5+6\right)\left(h\right)\\ 120=\left(15\right)\left(h\right)\text{ [add]}\\ h=8\text{cm [multiply]}\end{array}$

Thus, The height of the prism is $8\text{cm}$ .