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

Question

asked Feb 12, 2022 132k views

1 Answer

Shivan · Answer 1 · 2022-02-17T02:59:50+0000

Answer:

The volume is 164cm^3

Explanation:

Given

h = 7 --- height

a = 3 --- base length

r = 2.6

Required

The volume

The volume (V) is calculated as:

$V = (3\sqrt 3)/(2)a^2h$

This gives:

$V = (3\sqrt 3)/(2) * 3^2 * 7$

$V = (3\sqrt 3)/(2) * 9 * 7$

$V = (3\sqrt 3)/(2) * 63$

V = (3*1.7321)/(2) * 63

Using a calculator, we have:

V = 163.68

Approximate

V = 164cm^3