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 the formula for the volume of a pyramid

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 the given values into the formula

Given \(B = 7.4\) units² and \(h=6\) units. Then \(V=\frac{1}{3}\times7.4\times6\).
First, calculate \(7.4\times6 = 44.4\). Then \(\frac{1}{3}\times44.4=14.8\).

Answer:

14.8 units³