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    If the total surface area of a closed cube is 1014 cm² then the length of each edge of this cube is:
    Question

    If the total surface area of a closed cube is 1014 cm² then the length of each edge of this cube is:

    A.

    12 cm

    B.

    13 cm

    C.

    14 cm

    D.

    16 cm

    Correct option is B

    Given:

    The total surface area of a closed cube is = 1014 cm²

    Formula used:

    Surface area = 6a26a^2 (Where aa is the edge)​

    Solution: 

    Surface area = 6a26a^2​ 

    1014 = 6a26a^2 

    a2=10146a^2=\frac{1014}6= 169

    a=169=13a= \sqrt169=13 

    Thus the correct answer is (B)


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