The volume of a cube is increasing at a rate of 1200 cm^3/min at the moment the lengths of the sides are 20 cm. How fast are lengths of the sides increasing at that moment? (8 marks)
The volume of a cube is increasing at a rate of 1200 cm^3/min at the moment the lengths of the sides are 20 cm. How fast are lengths of the sides increasing at that moment? (8 marks)
What is the formula for the volume of a cube in terms of the lengths of the sides? Call it V(t). Then V(t) is also given by
V(t) = 1200 t
where t is in minutes. Equate the two and then see if you can get a formula for h(t), the length of the sides.
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