Table of Contents

Last modified on August 3rd, 2023

chapter outline

 

Volume of a Triangular Prism

The volume of a triangular 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 triangular prism is given below:

Volume of a Triangular Prism

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

Volume (V) = Base Area x Length

Let us solve some examples to understand the above concept better.

Solved Examples

Find the volume of a right triangular prism whose base is 7 cm, the height is 8 cm, and the length is 25 cm.

Solution:

As we know,
Volume (V) = 12×b×h×l, here b = 7 cm, h = 8 cm, l = 25 cm
V = 12×7×8×25
= 700 cm3

Find the volume of a triangular prism given in the figure.

Solution:

As we know,
Volume (V) = 12×b×h×l, here b = 5 cm, h = 6 cm, l = 14 cm
V = 12×5×6×14
= 210 cm3
 

Finding the volume of a triangular prism when the BASE AREA is known

Find the volume of a triangular prism given in the figure whose base area is 256 in2.

Solution:

As we know,
Volume (V) = Base Area × Length, here base area = 256 in2, length = 6.5 in
V = 256 × 6.5
= 1664 in3

Last modified on August 3rd, 2023

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