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    The longest diagonal of a cube is 63 \sqrt{\smash[b]{3}}3​​ cm. Find the total surface area of the cube.
    Question

    The longest diagonal of a cube is 63 \sqrt{\smash[b]{3}}​ cm. Find the total surface area of the cube.

    A.

    648 cm²

    B.

    216 cm²

    C.

    36 cm²

    D.

    324 cm²

    Correct option is B

    Diagonal of a cube =  63 \sqrt{\smash[b]{3}}​ cm

    Side 3 \sqrt{\smash[b]{3}}​ = 63 \sqrt{\smash[b]{3}}​ cm

    Side = 6 cm

    Total Surface Area = 6(Side)2(Side)^2​ = 6 × 36= 216 cm2cm^2​​

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