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? 11.1 units³ 14.8 units³ 22.2 units³ 44.4 units³

Explanation:

Step1: Recall pyramid volume formula

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

Step2: Substitute given values

Substitute $B = 7.4$ units$^2$ and $h = 6$ units into the formula:
$V = \frac{1}{3} \times 7.4 \times 6$

Step3: Calculate the volume

First compute $\frac{1}{3} \times 6 = 2$, then $2 \times 7.4 = 14.8$

Answer:

14.8 units$^3$