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A cubical block of ice is melting in such a way that each edge decreses steadily by 8.8 cm every hour. At what rate is its volume decreasing when each edge is 5 meters long?
this is my work
Let l=l(t) be the length of each edge at time t
then volume = l^3
dl/dt = 8.8cm/h = .088m/h
dV/dt = dV/dl * dl/dt
= 3l^2 * .088 m/h
at l = 5
dV/dt = -6.6m/h
where have I made an error?
thanks
this is my work
Let l=l(t) be the length of each edge at time t
then volume = l^3
dl/dt = 8.8cm/h = .088m/h
dV/dt = dV/dl * dl/dt
= 3l^2 * .088 m/h
at l = 5
dV/dt = -6.6m/h
where have I made an error?
thanks