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Question

a coat of paint of thickness 0.05 cm is to be applied uniformly to the faces of a cube of edge 30 cm. Use differentials to find the approximate amount of paint required for the job

Answer 1

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Answer 2

The surface area of the cube is 6x^2, where x is the edge

 

Amount of paint required = thickness of the paint x surface area = 0.05 cm x 6x(30 cm)² = 270 cm³