Question

what is the height of a pyramid that has base area = 4.86 m² and volume = 7.29 m³?
a) 1.5 m
b) 11.7 m
c) 4.5 m
d) 35.1 m

Explanation:

Step1: Recall volume formula for pyramid

The volume formula for a pyramid is $V=\frac{1}{3}Bh$, where $V$ is volume, $B$ is base - area and $h$ is height.

Step2: Rearrange formula to solve for height

We can rewrite the formula as $h = \frac{3V}{B}$.

Step3: Substitute given values

Given $V = 7.29\ m^{3}$ and $B=4.86\ m^{2}$, then $h=\frac{3\times7.29}{4.86}$.
First, calculate $3\times7.29 = 21.87$.
Then, $h=\frac{21.87}{4.86}=4.5\ m$.

Answer:

c) 4.5 m