9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a = 1 m, b = 2 m, c 3 m, da/dt = and de/dt = -3 m/sec....

Extracted text: 9- Changing dimensions in a box The lengths a, b, and c of the edges of a rectangular box are changing with time. At the instant in ques- tion, a = 1 m, b = 2 m, c 3 m, da/dt = and de/dt = -3 m/sec. At what rates are the box's volume V and surface area S changing at that instant? Are the box's interior di- agonals increasing in length or decreasing? db/dt = 1 m/sec, %3D %3D