Table of Contents

Last modified on August 3rd, 2023

An oblique prism is a slanted prism in which the lateral faces are not perpendicular to the bases. As a result, the 2 bases are not aligned perfectly above one another when the prism rests on its base. The lateral face of an oblique prism is not its height.

The height of an oblique prism is calculated from outside the shape. The figure below shows an oblique prism and how it differs from a right prism.

The surface area of an oblique prism can be calculated as 2 × base area + areas of the parallelograms. In an oblique prism, the lateral faces are parallelogram-shaped and may or may not be congruent every time based on the different shapes of the prisms.

Since there is no direct formula to calculate the surface area of an oblique prism, it is not in common practice.

The volume of an oblique prism is its space occupied in the three-dimensional plane. It is the same as the volume of a right prism having the same height. We measure the volume in cubic units such as m^{3}, cm^{3}, mm^{3}, ft^{3}.

The formula to calculate the volume of an oblique prism is given below:

**Volume (V) = Base Area × Height**

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

Solution:

Here, Base Area = Length × Width

= 8 × 7

= 56 cm^{2}

As we know,

Volume* (V) = *Base Area × Height, here base area = 56 cm^{2}, height = 16 cm,

∴ *V *= 56 × 16

= 896 cm^{3}

**Find the volume of an oblique triangular prism whose base area is 11 cm ^{2} and height is 9 cm.**

Solution:

As we know,

Volume* (V) = *Base Area × Height, here height = 9 cm, base area = 11 cm^{2}

∴ *V *= 11 × 9

= 99 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