Question

A cube has an edge of 2 feet. The edge is increasing at the rate of 4 feet per minute. Express the volume of the cube as a function of m, the number of minutes elapsed.

Answer 1

Recall that the volume of a cube is given by the following formula:

`V=s^3,`

where s is the length of the edge of the cube.

Now, the edge is increasing at a rate of 4 ft per minute:

`s=(2+4m)ft.`

Therefore:

`V=(2+4m)^3ft^3.`

Answer:

`V=(2+4m)^3ft^3.`