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    The volume of a wall is given as 12.8 cubic meters. The height of the wall is 5 times its breadth, and the length is 8 times its height. Find the brea
    Question

    The volume of a wall is given as 12.8 cubic meters. The height of the wall is 5 times its breadth, and the length is 8 times its height. Find the breadth of the wall.


    A.

    0.004 meter

    B.

    40 cm

    C.

    400 cm

    D.

    0.04 meter

    Correct option is B

    Given:
    The height of the wall is 5 times its breadth.
    The length of the wall is 8 times its height.
    The volume of the wall is 12.8 cubic meters.
    Formula Used:
    Volume = Length × Height × Breadth
    Solution:
    Let the breadth of the wall be "b".
    The height of the wall is 5b, and the length of the wall is 40b (since length = 8 times the height).
    Volume = Length × Height × Breadth
    12.8 = 40b × 5b × b

    12.8 = 200 b3b^3​​
    b3b^3 ​= 12.8200\frac{12.8 }{ 200}​​
    b3b^3​ = 0.064
    b = ∛(0.064)
    b = 0.4 m = 0.4×100=40cm0.4 \times 100 = 40 cm​​
    Therefore, the breadth of the wall is 40 cm

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