Question

all edges of this cube are expanding at 3 centimeters per second for rate. How quick is the Surface Area changing when each edge = 1 cm?

Answer 1

do you know what the equation/formula for the surface area of a cube is? :)

Answer 2

a = 6a^2 :(

Answer 3

yes :)
then could you take the derivative of that? :3

Answer 4

wait

Answer 5

12a :/

Answer 6

don't forget chain rule :)
so dA/dt = 12 a da/dt

word form if it would make more sense...
the change in surface area over time equals 12 times a side times the rate of change of a side

Answer 7

a = 1 cm
da/dt = 3
plug it into dA/dt = 12 a da/dt and solve :)

Answer 8

36?

Answer 9

yeah I think so :P

Answer 10

<3