A cuboid has a total surface area of 400 cm 2 and a volume of V cm

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A cuboid has a total surface area of 400 cm2 and a volume of V cm3.

The dimensions of the cuboid are 4x cm by x cm by h cm.

a. Express h in terms of V and x.

b. Show that V = 160x – 160/5 x3.

c. Find the value of x when V is a maximum.

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