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27-06-2021
Mathematics

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if the ratio of the volume of two cubes is 1 : 8 , then find the ratio of the total surface area of the two cubes

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27-06-2021

Answer:

V = L^3 where v is volume and L the length of one side

A = 6 * L^2 total area of cube with side L

A = 6 * V^2/3 area of cube expressed in V

A2 / A1 = (V2 / V1)^2/3 6 cancels

A2 / A1 = 8^2/3 = 4 ratio of areas

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