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 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 $h=6$ units. Substitute these values into the formula: $V=\frac{1}{3}\times7.4\times6$.

Step3: Calculate the volume

First, calculate $7.4\times6 = 44.4$. Then, $\frac{1}{3}\times44.4=14.8$ units³.

Answer:

$14.8$ units³