Volumes of Prisms

Understanding Prisms

A prism is a three-dimensional shape that has identical ends, flat faces and the same cross-section along its length. The ends are also called the bases of the prism.
Once you understand the basic structure of a prism, you can identify its different parts and will be able to calculate its volume more easily.

Classification of Prisms

Prisms can be classified into different categories, such as right prisms and oblique prisms, based on their characteristics.
In a right prism, the faces join the bases at right angles, and in an oblique prism, the faces join the bases at an angle other than a right angle.

Volume of Prisms

The volume of a prism is the amount of space it occupies and is measured in cubic units.
The volume of a prism is calculated by multiplying the area of the base (also known as cross-sectional area) by the height of the prism.
The formula to calculate the volume of a prism is: Volume = Area of base x Height.

Area of Base

To use the formula, you must first understand how to calculate the area of the base.
The method of calculating the area will vary depending on the shape of the base. Bases can be rectangles, triangles, circles, etc.
For instance, to find the area of a base that is a rectangle, you multiply the length and the width. If the base is a triangle, you use 0.5 x Base x Height.

Applying the Volume Formula

Once you have calculated the area of the base, you then multiply this by the height of the prism to find the volume.
Always remember to state your answers with the correct units of measurement. If you are given measurements in centimetres, your answer should be in cubic centimetres.

Remember that understanding and mastering the calculation of volumes of prisms requires consistent practice. Work on a variety of problems with different prism shapes to strengthen your understanding.