Question

To the nearest cubic centimeter, what is the volume of the regular hexagonal prism?

Answer 1

Answer:

The volume is 164cm^3

Step-by-step explanation:

Given

$h = 7$ --- height

$a = 3$ --- base length

$r = 2.6$

Required

The volume

The volume (V) is calculated as:

$V = \frac{3\sqrt 3}{2}a^2h$

This gives:

$V = \frac{3\sqrt 3}{2} * 3^2 * 7$

$V = \frac{3\sqrt 3}{2} * 9 * 7$

$V = \frac{3\sqrt 3}{2} * 63$

$V = \frac{3*1.7321}{2} * 63$

Using a calculator, we have:

$V = 163.68$

Approximate

$V = 164cm^3$