# Volume of a Rectangular Prism

The volume of a rectangular prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m3, cm3, mm3, ft3.

## Formula

The formula to calculate the volume of a rectangular prism is given below:

In the above formula, the product of the length and the width is the base area of the prism. Therefore, we can also write the formula as:

Volume (V) = Base Area x Height

## Solved Examples

Find the volume of a rectangular prism in the figure.

Solution:

As we know,
Volume (V) = l Ã— w Ã— h, here l = 12 cm, w = 6 cm, h = 17 cm
âˆ´ V = 12 Ã— 6 Ã— 17
= 1224 cm3

Find the volume of a rectangular prism whose base area is 49 in2 and height is 12 in.

Solution:

As we know,
Volume (V) = Base Area x Height, here base Area = 49 in2, w = 6 cm, height = 12 in
âˆ´ V = 49 Ã— 12
= 588 in3

Find the volume of an oblique rectangular prism in the figure.

Solution:

As we know,
The volume of an oblique rectangular prism = volume of a right rectangular prism with the same height ‘h’
Volume (V) = l Ã— w Ã— h, here l = 11 cm, w = 9.6 cm, h = 18 cm
âˆ´ V = 11 Ã— 9.6 Ã— 18
= 1900.8 cm3

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