Volume of a Triangular Prism Formula

A prism that has 3 rectangular faces and 2 parallel triangular bases, then it is a triangular prism. The triangular bases are joined by lateral faces and are parallel to each other. The space occupied by the triangular prism is the volume of the triangular prism.

The picture below illustrate the formula. Let’s solve one example.

triangular prism

\[\large Volume\;of\;triangular\;prism=\frac{1}{2}abh\]

Solved Example

Question. Find out the surface area of a triangular prism with base 4 cm, side 3 cm and height 6 cm

Solution:

Given,
a= 3
b= 4 cm
h= 6 cm

According to the formula,
$Volume\;of\;triangular\;prism=\frac{1}{2}abh$

$=\frac{1}{3}\times3\times4\times6$

$=36 cm^{3}$


Practise This Question

The areas of two similar triangles are 12 cm2 and 48 cm2. If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is –