Question

a solid right - pyramid has a regular hexagonal base with an area of 7.4 units². the pyramid has a height of 6 units. what is the volume of the pyramid? o 11.1 units³ o 14.8 units³ o 22.2 units³ o 44.4 units³

Explanation:

Step1: Recall volume formula

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

Step2: Substitute given values

We are given that $B = 7.4$ units² and $h=9$ units. Substitute these values into the formula: $V=\frac{1}{3}\times7.4\times9$.

Step3: Perform the calculation

First, calculate $\frac{1}{3}\times9 = 3$. Then, $V=7.4\times3=22.2$ units³.

Answer:

22.2 units³