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R F
R F asked in Science & MathematicsMathematics · 3 weeks ago

The surface area of one cube is twice the surface area of a second cube. What is the ratio of their volumes?

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  • llaffer
    Lv 7
    3 weeks ago

    If the ratio of lengths of similar shapes is x:y, then the ratio of their surface areas would be the square: x²/y² and the ratio of their volumes would be the cube: x³/y³

    You are told that the surface area of one cube is twice the other, so:

    2:1

    We'll need to get the square root of this ratio to get the ratio of the lengths:

    √(2):1

    And then cube of this ratio to get the ratio of the volume:

    √(2³):1 or 2√(2):1

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