The image above represents a prism.

To compute the volume of a prism requires two essential parameters which are the base area and height of the prism.

The formula for computing the volume of a prism is:

V = Ah

Where:

V = Volume of the Prism

A = Base area of the Prism

h = Height of the prism

Let’s solve an example

Find the volume of a prism with a base area of 30 cm^{2} and a height of 8 cm.

This implies that:

A = base area of the prism = 30

h= = height of the prism = 8

V = Ah

V = 30 x 8

V = 240

Therefore, the **volume of the prism** is **240 cm ^{3}**.

**Calculating the Base area of a prism when Volume and Height are Given**

The formula is A = ^{V} / _{h}

Where;

V = Volume of the Prism

A = Base area of the Prism

h = Height of the Prism

Let’s solve an example:

Find the base area of a prism with a volume of 300 cm^{3} and a height of 12 cm.

This implies that;

V = Volume of the prism = 300 cm^{3}

h = height of the prism = 12 cm

A = ^{V} / _{h}

A = ^{300} / _{12}

A = 25

Therefore, the** base area of the prism **is** 25 cm ^{2}.**

**Calculating the height of a prism when Volume and Base area are Given**

The formula is h = ^{V} / _{A}

Where;

A = Base area of the Prism

V = Volume of the Prism

h = Height of the Prism

Let’s solve an example:

Find the height of a prism with a volume of 280 cm^{3} and a base area of 35 cm^{2}

This implies that;

V = Volume of the prism = 280 cm^{3}

A = Base area of the prism = 35 cm^{2}

h = ^{V} / _{A}

h = ^{280} / _{35}

h = 8

Therefore, the** height of the prism **is** 8 cm.**