Question

A small moving box has a volume of 2304 inches cubed and length of 16 inches. The box's width and height are the same. Write the equation that models the volume of the box. Let x represent the width. Solve the equation. Find the width and height of the box.

Answer 1

V = 16x²

Width = 12in

Height = 12in

Explanation:

Volume of the box is expressed as;

V = Length *Width * height

Given

Length = 16in

Width = x

Height = x

The volume of the box will be expressed as;

V = 16 * x * x

V = 16x² (This gives the required equation)

To get x:

We are given

V = 2304in³

Substitute;

2304 = 16x²

x² = 2304/16

x² = 144

x= √144

x = 12

Hence the width and the height are both 12inches since they are the same.

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