Word Problem Involving the Volume of a Triangular Prism

Introduction

In this lesson, we solve word problems involving the volume of a triangular prism. Real world problems.Example 1

A right prism base is a triangle whose sides are 18 cm, 20 cm and 34 cm. Find the volume of the prism if its height is 9 cm.

Solution

Step 1:

Area of baseA = s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√�(�−�)(�−�)(�−�)

= 36(36−18)(36−20)(36−34)−−−−−−−−−−−−−−−−−−−−−−−√36(36−18)(36−20)(36−34)

= 144 square cm;

height h = 9 cm

Step 2:

Volume of triangular prism V = Ah = 144(9)

= 1296 cu cmExample 2

The base of a right prism is a right triangle with legs 12 and 5 cm. If the volume of the prism be 390 cu cm, find the height of the prism.

Solution

Step 1:

Area base A = 1212 × 12 × 5 = 30 sq cm;

Volume V = 390 cu cm

Step 2:

Height of triangular prism h = V/A = 390/30

= 13 cmPrint Page