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.

Hint: Remember that the volume of a cube is the cube(third power) of the length of a side.

v(m)=???? feet^3

Answer 1

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

Explanation:

The edge of the cube is increasing by 4 feet every minute

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

Two is the starting sidelength of the cube, and 4m is how many feet the side of the cube has grown, depending on the number of minutes that have passed