Question

A company is designing a square prism. It's height is 3 yards longer than a side of its base. The volume of the prism must be 20 cubic yards. (V=l*w*h) Write a representative function for the volume of the solid

Answer 1

l³+3l - 20 = 0

Explanation:

Given the volume of a prism expressed as;

V = lwh

l is the length of the prism

w is the width

h is the height of the prism

Since the prism is square based, l = w

The formula becomes

V = l²h

If its height is 3 yards longer than a side of its base, then h = l+3

V = l²(l+3)

V= l³+3l

Given V = 20yd³

The expression becomes

20 = l³+3l

l³+3l - 20 = 0

Hence the representative function for the volume of the solid is l³+3l - 20 = 0