Question

a solid right pyramid has a regular hexagonal base with an area of 5.2 cm² and a height of h cm. which expression represents the volume of the pyramid? o $\frac{1}{5}(5.2)h$ cm³ o $\frac{1}{5h}(5.2)h$ cm³ o $\frac{1}{3}(5.2)h$ cm³ o $\frac{1}{3h}(5.2)h$ cm³

Explanation:

Step1: Recall volume formula

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

Step2: Substitute given values

Given that $B = 5.2\ cm^{2}$ and height is $h\ cm$. Substituting into the formula, we get $V=\frac{1}{3}(5.2)h\ cm^{3}$.

Answer:

$\frac{1}{3}(5.2)h\ cm^{3}$