The volume, V cm³, of a metallic cube of side length x cm, is increasing at the constant rate of 0.216 cm3 s^-1 .
(a) Determine the rate at which the side of the cube is increasing when the side length reaches 6 cm.
(b) Find the rate at which the surface area of the cube, A cm², is increasing when the side length reaches 6 cm.
(a)
Differentiate both sides with respect to
Then
Given
The side of the cube is increasing at the of
(b)
Differentiate both sides with respect to
Given
The surface area of the cube is increasing at the of
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