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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.

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 ela class=

Respuesta :

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

[tex]V=s^3,[/tex]

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

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

[tex]s=(2+4m)ft.[/tex]

Therefore:

[tex]V=(2+4m)^3ft^3.[/tex]

Answer:

[tex]V=(2+4m)^3ft^3.[/tex]