10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The sides of a rectangular solid are 72 cm, 75 cm and 135 cm. The side of the cube (in cm) whose volume is equal to the solid, is

    A)  75                         

    B)         80

    C)  85                         

    D)         90  

    Correct Answer: D

    Solution :

     Volume of the cube \[=(72\times 75\times 135)\] \[=(8\times 9\times 3\times 25\times 27\times 5)\] \[={{2}^{3}}\times {{9}^{3}}\times {{5}^{3}}=90\times 90\times 90\] \[\therefore \] Each side of the cube \[=90\text{ }cm.\]


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