Volume of Triangular Prism

Introduction

In this lesson we find the volume of a triangular prism

A triangular prism is a prism that has two congruent parallel triangles as its bases and rectangular lateral faces.

Formula for the volume of a triangular prism

If A is the area of the base triangle and h is the height of the prism then volume of the prism is given by

Volume V = A × h

Where A = 1212 b h or s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√�(�−�)(�−�)(�−�) or a23–√/4�23/4

b is the base of the triangle and h is the height

a, b, and c are the sides of the triangle and s =(a+b+c)/2

a is the side of an equilateral triangleExample 1

Find the volume of the following triangular prism.

Solution

Step 1:

Volume of a triangular prism = Areas of base triangle × height of prism

Step 2:

Volume of given prism V = 1212 × 14 × 8 × 10

= 560 cubic feetExample 2

Find the volume of the following triangular prism.

Solution

Step 1:

Volume of a triangular prism = Areas of base triangle × height of prism

Step 2:

Volume of given prism V = 1212 × 14 × 8 × 6

= 336 cubic ft