Question

the volume v of a pyramid is given by the formula v = 1/3bh where b is the area of the base and h is the height. solve the formula for h. if the volume, v, of a pyramid is 216 cm^3 and the base, b, is 36 cm^2, what is the height of the pyramid?

Explanation:

Step1: Rearrange the volume formula for h

Given $V=\frac{1}{3}Bh$, we can multiply both sides by 3 to get $3V = Bh$. Then divide both sides by B to isolate h, so $h=\frac{3V}{B}$.

Step2: Substitute the given values

We know that $V = 216\ cm^{3}$ and $B=36\ cm^{2}$. Substitute these values into the formula $h=\frac{3V}{B}$, we have $h=\frac{3\times216}{36}$.
First, calculate $3\times216 = 648$. Then, $\frac{648}{36}=18$.

Answer:

$18\ cm$