Chapter 12.2, Problem 15WE

To determine

To find: the height of the pyramid.

Answer to Problem 15WE

The height of the pyramid is $6\text{cm}$ .

Explanation of Solution

Given information:

A pyramid has a base area of ${\text{16cm}}^2$ and a volume of ${\text{32cm}}^3$ .

Calculation: to find the height of pyramid, use the formula of volume of pyramid and then substitute and then simplify,

  $\begin{array}{l}v=\frac{1}{3}bh\\ 32=\frac{1}{3}\left(16\right)h\text{ [substitute]}\\ h=6\text{ [simplify]}\end{array}$

Thus, The height of the pyramid is $6\text{cm}$ .