# Right Prism: Volume

How to find the volume of a right prism: formula, 3 examples, and their solutions.

## Formula

### Formula

V = Bh

V: Volume of a right prism

B: Base area

h: Height

## Example 1

### Example

### Solution

Find the base area B.

The base is a rectangle.

Its sides are 7 and 5.

So the area of the rectangle is

B = 7⋅5.

7⋅5 = 35

So the base area B is 35.

The height h is 8.

B = 35

h = 8

Then the volume V

is equal to,

the base area, 35

times,

the height h, 8.

35⋅8 = 280

So the volume of the right prism is 280.

## Example 2

### Example

### Solution

Find the base area B.

The base is an equilateral triangle.

Its side is 4.

So the area of the equilateral triangle is

B = [√3/4]⋅4^{2}.

[√3/4]⋅4^{2}

= √3⋅4

= 4√3

So the base area B is 4√3.

The height h is 7.

B = 4√3

h = 7

Then the volume V

is equal to,

the base area, 4√3

times,

the height h, 7.

4√3⋅7 = 28√3

So the volume of the right prism is

28√3.

## Example 3

### Example

### Solution

By using the given net,

draw the 3D figure of the box.

It's a right prism.

Find the base area B.

The base is a rectangle.

Its sides are 11 and 5.

So the area of the rectangle is

B = 11⋅5.

11⋅5 = 55

So the base area B is 55.

The height h is 3.

B = 55

h = 3

Then the volume V

is equal to,

the base area, 55

times,

the height h, 3.

55⋅3 = 165

So the volume of the right prism is 165.