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    Two cubes each of volume 125 cm³ are joined end to end. The total surface area of the resulting cuboid is:
    Question

    Two cubes each of volume 125 cm³ are joined end to end. The total surface area of the resulting cuboid is:

    A.

    160 cm²

    B.

    80 cm²

    C.

    125 cm²

    D.

    250 cm²

    Correct option is D

    Given:

    Two cubes, each of volume 125 cm3,5\text{ cm}^3,​ are joined face-to-face to form a cuboid.

    Formula Used:

    Side of cube a=Volume3=\sqrt[3]{\text{Volume}}

    Surface area of a cuboid: S = 2(lw + lh + wh).

    Solution:
    Side of cube a = =1253=5 cm=\sqrt[3]{125}=5\text{ cm}​​

    Here l = a = 5; w = a = 5; h = 2a =10.
    S =2(5×5+5×10+5×10)2(5\times5+5\times10+5\times10)​​
    =2(25+50+50)=2×125=250 cm2.2(25+50+50)=2\times125=250\ \text{cm}^2.​​

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