Question

A pyramid has a base area of 16 cm² and a volume of 32 cm². Find its height.

Short answer

The height of the pyramid is6 cm.

Step-by-step solution

Step 1. Given information.

Base area of pyramid is 16 cm² and volume is 32 cm².

Step 2. Write the concept.

The volume of the pyramid is given by the following formula:

$V=\frac{1}{3}bh$

Here b is the base area and h be the height of pyramid.

Step 3. Determine the height.

Substitute the given values in the formula.

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