Question

a solid right pyramid has a regular hexagonal base with an area of 74 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 $B = 74$ units² and $h=6$ units. Substitute these values into the formula: $V=\frac{1}{3}\times74\times6$.

Step3: Calculate the volume

First, calculate $\frac{1}{3}\times6 = 2$. Then, $2\times74=148$ units³.

Answer:

148 units³