# Volume of a Right Prism

How to find the volume of a right prism: formula, examples, and their solutions.

## Formula

*V* = *Bh**V*: Volume of a right prism*B*: Base area*h*: Height of the prism

## Example 1

Set the bottom face as the base.

The base is a rectangle.

Its sides are 7 and 5.

So *B* = 35.

Area of a rectangle

It says

the given figure is a right prism.

So the blue edge is the height.

So *h* = 8.

*B* = 35*h* = 8

So *V* = 35⋅8.

35⋅8 = 280

So *V* = 280.

## Example 2

Set the front face as the base.

The base is an equilateral triangle.

Its sides are all 4.

So *B* = (√3/4)⋅4^{2}.

Area of an equilateral triangle

Cancel the denominator 4

and reduce 4^{2} to 4.

Then *B* = 4√3.

It says

the given figure is a right prism.

So the blue edge is the height.

So *h* = 7.

*B* = 4√3*h* = 7

So *V* = 4√3⋅7.

4⋅7 = 28

So *V* = 28√3.

## Example 3

Draw the open box like this

by using its net.

Set the bottom face as the base.

The base is a rectangle.

Its sides are 11 and 5.

So *B* = 55.

Then the blue edge is the height.

So *h* = 3.

*B* = 55*h* = 3

So *V* = 55⋅3.

55⋅3 = 165

So *V* = 165.