A rectangular storage container with an open top has a volume of 20m3. The length of its base is twice its width. Material for the base costs Rs.10 per square meter material for the sides costs Rs 4 per square meter. Express the cost of materials as a function of the width of the base.

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Suresh Chand · Accepted Answer

Let x = the width and  h = the height of the container. Volume V = 2x2h = 20 y = 10/x2 Cost, C = 10 (2x2) + 4(2•2xy + 2xy) =20x2+24xy =20x2+24x(10/x2) C(x) = 20x2+240/x

A rectangular storage container with an open top has a volume of 20m³. The length of its base is twice its width. Material for the base costs Rs.10 per square meter material for the sides costs Rs 4 per square meter. Express the cost of materials as a function of the width of the base.

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A rectangular storage container with an open top has a volume of 20m3. The length of its base is twice its width. Material for the base costs Rs.10 per square meter material for the sides costs Rs 4 per square meter. Express the cost of materials as a function of the width of the base.

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A rectangular storage container with an open top has a volume of 20m³. The length of its base is twice its width. Material for the base costs Rs.10 per square meter material for the sides costs Rs 4 per square meter. Express the cost of materials as a function of the width of the base.