Question

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

Explanation:

Step1: Recall volume formula

The volume formula for a right - pyramid is $V=\frac{1}{3}Bh$, where $V$ is volume, $B$ is base area and $h$ is height.
We need to solve for $h$, so we can re - arrange the formula to $h = \frac{3V}{B}$.

Step2: Substitute given values

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

Answer:

c) 4.5 m