Table of Contents

Last modified on August 3rd, 2023

The volume of a rectangular prism is the space it occupies in the three-dimensional plane. It is measured in cubic units such as m^{3}, cm^{3}, mm^{3}, ft^{3}.

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**

**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 cm^{3}

**Find the volume of a rectangular prism whose base area is 49 in ^{2} and height is 12 in.**

Solution:

As we know,

Volume (*V*) = Base Area x Height, here base Area = 49 in^{2}, *w* = 6 cm, height = 12 in

âˆ´ *V* = 49 Ã— 12

= 588 in^{3}

**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 cm^{3}

**More Resources:**- Volume of a Prism
- Surface Area of a Prism
- Right Prism
- Oblique Prism
- Rectangular Prism
- Volume of a Rectangular Prism
- Surface Area of a Rectangular Prism
- Triangular Prism
- Volume of a Triangular Prism
- Surface Area of a Triangular Prism
- Hexagonal Prism
- Volume of a Hexagonal Prism
- Surface Area of a Hexagonal Prism
- Pentagonal Prism
- Volume of a Pentagonal Prism
- Surface Area of a Pentagonal Prism
- Trapezoidal Prism
- Volume of a Trapezoidal Prism
- Surface Area of a Trapezoidal Prism
- Square Prism
- Volume of a Square Prism
- Surface Area of a Square Prism
- Octagonal Prism
- Heptagonal Prism
- Decagonal Prism

Last modified on August 3rd, 2023