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? ○ \\(\frac{1}{5}(5.2)h\\) cm³ ○ \\(\frac{1}{5h}(5.2)h\\) cm³ ○ \\(\frac{1}{3}(5.2)h\\) cm³ ○ \\(\frac{1}{3h}(5.2)h\\) cm³

Explanation:

Step1: Recall pyramid volume formula

The volume $V$ of a pyramid is given by $V = \frac{1}{3} \times \text{Base Area} \times \text{Height}$

Step2: Substitute given values

Base Area $= 5.2 \, \text{cm}^2$, Height $= h \, \text{cm}$. Substitute into the formula:
$V = \frac{1}{3}(5.2)h \, \text{cm}^3$

Answer:

$\boldsymbol{\frac{1}{3}(5.2)h \, \text{cm}^3}$ (the third option)