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    If lateral surface area of a cube is 144 cm2cm^2cm2​, then find its volume.
    Question

    If lateral surface area of a cube is 144 cm2cm^2​, then find its volume.

    A.

    216 cubic cm

    B.

    117.58 cubic cm

    C.

    1728 cubic cm

    D.

    864 cubic cm

    Correct option is A

    Given:
    Lateral surface area of cube = 144 cm2cm^2​​

    Formula Used:
    Lateral surface area of cube = 4a2a^2​​
    Volume = a3a^3​​
    Solution:
    4a2=144a2=36a=6cm4a^2= 144\\a^2= 36\\a= 6cm​​
    Volume =a3=216cm3a^3 = 216 cm^3​​

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