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The LSA of cube is 100 …

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The LSA of cube is 100 m^2 . What is the volume of the cube

    • Posted by Nishita Goel 5 years, 3 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 3 months ago

    Given, lateral surface area of a cube = 100 m2
    We know that, lateral surface area of a cube = 4 x (Side)2
    ⇒ 100 = 4 x (Side)2
    ⇒ (Side)2 = 100/4 = 25
    ⇒ Side = √25 = 5 m
    [taking positive square root because side is always a positive quantity]
    Now, volume of a cube = (Side)3 = (5)3 = 5 x 5 x 5 = 125 m3
    Hence, the volume of the cube is 125 m3.

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