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

V(m) =

Step-by-step explanation:

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

V(m) =

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

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb