(801, #35) The length l, width w, and height h, of a box change with time. At a certain instant the dimensions are l = 1m and w = h = 2m, and l and w are increasing at a rate of 2m/s while h is decreasing at a rate of 3m/s. At that instant find the rates at which the following quantities are changing.
a)The volume
b)The surface area
c)The length of the diagonal

Solution: a) The volume:

b)The surface area:

c)The length of a diagonal ( By Pythagorean theorem we find )

No Maple Code for this problem.

by: gm