Question

8. A cube container, with original volume 64 in. 3, is being redesigned to increase

its capacity. The expression x + 64 in. ? models the volume of the new cube.

If the volume can increase by a maximum of 100 in. 3, what is the maximum

measurement of the edge of the larger cube, rounded to the nearest tenth?

Answer 1

The volume of the cube container is the amount of space in it, and the maximum measurement of the edge of the larger cube is 5.5 inches

How to determine the maximum edge of the larger cube?

The volume of the container is given as:

V = 64 cubic inches

When it increases by a maximum of 100 cubic inches, the new volume becomes

V = 164 cubic inches

The volume of a cube container is calculated using:

V = l³

Where l represents the edge length of the cube

Substitute 164 for V

l³ = 164

Take the cube root of both sides

l = 5.5

Hence, the maximum measurement of the edge of the larger cube is 5.5 inches

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