Question

The base of a hexagonal prism has an area of 30 square millimeters. The height of the prism is 6 millimeters. Find the volume of the prism.

Answer 1

180 cubic millimeters

Explanation:

The volume of a hexagonal prism can be found with the following formula:

`V=(3√(3))/(2) a^(2) h`

The area of a hexagon is:

`A= (3√(3))/(2)a^(2)`

Upon, closer inspection, you'll notice that the formula for area of a hexagon is in the formula for volume of a hexagonal prism.

We already know the area of the hexagon base, so we can just plug it in into the volume formula.

V=30h

We ale aso know the height, which we can plug in.

V=30(6)

Simplify.

V=180