Question

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters. What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

Answer 1

s≤4 cm.

Explanation:

Let s be side of cube.

As we know that the volume of cube=side×side×side

Here, it is given that the volume of cube = 64 cubic centimeters.

or we can write

side×side×side=64 cubic centimeters

Taking cube root both sides

side= 4 cm

In order to build a cube with a minimum of 64 cubic centimeters,

we can take the value of s≤4 cm.

Hence, the reasonable range for s, the side length is s≤4 cm.