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    Tye space diagonal of a cube measures 8√3 cm. What is the volume of the cube?
    Question

    Tye space diagonal of a cube measures 8√3 cm. What is the volume of the cube?

    A.

    512 cm3^3​​

    B.

    1536√3 cm3^3

    C.

    510 cm3^3

    D.

    1536 cm3^3

    Correct option is A

    Given:

    diagonal of a cube measures 8√3

    Formula Used:

    diagonal of a cube measures =a√3

    volume of  cube = a3^3 cm3^3

    Solution:

    diagonal of a cube measures =a√3 =8√3

    a=8

    volume of  cube = a3^3

    =83^3 cm3^3

                              =512cm3^3

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