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

  • question_answer Find the number of bricks, each measuring\[25\,\,cm\times 12.5\,\,cm\times 7.5\,\,cm\], required to construct a wall 12m long, 5 m high and 0.25 m thick, while the sand and cement mixture occupies 5% of the total volume of wall.

    A)  6080     

    B)  3040         

    C)  1520                           

    D)  12160

    Correct Answer: A

    Solution :

    (a): Volume of wall \[=1200\times 500\times 25\]\[=15000000\,\,c{{m}^{3}}\] Volume of cement \[=5\text{ }%\text{ }of\text{ }15000000\]\[=750000\text{ }c{{m}^{3}}\] Remaining volume \[=15000000-750000\]\[=14250000\text{ }c{{m}^{3}}\] Volume of a brick \[=25\times 12.5\times 7.5=2343.75\,\,c{{m}^{3}}\] Number of bricks used \[=\frac{14250000}{2343.75}=6080\]                    

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