10th Class Mathematics Surface Areas and Volumes Question Bank Surface Area and Volume (Mensuration)

  • question_answer The areas of three adjacent faces of a cuboid are x, y, z. If the volume is V, then \[{{V}^{2}}\] will be equal to

    A)  \[xy/z\]                        

    B)  \[yz/{{x}^{2}}\]        

    C)  \[{{x}^{2}}{{y}^{2}}/{{z}^{2}}\]              

    D)  \[xyz\]

    Correct Answer: D

    Solution :

    (d): \[x.y.z=lb\times bh\times lh={{(lbh)}^{2}}\]; Area of adjacent faces are lb = x(say), bh = y and lh = z(say). Volume of a cuboid (V) = lbh; \[\therefore \]      \[{{V}^{2}}={{(lbh)}^{2}}=xyz\]

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