10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    Each edge of a cube is increased by 50%. The per cent of increase in the surface area of the cube is

    A)  50

    B)  125  

    C)  750

    D)  300

    Correct Answer: B

    Solution :

     Suppose each edge of a cube is\[100\text{ }cm\]. After increase by 50% the edge \[=150\text{ }cm\] Surface area of the cube before increase                 \[=6\times 100\times 100\]                 \[=60000\,c{{m}^{2}}\] and surface area of the cube after increase                 \[=6\times 150\times 150\]                 \[=135000\,c{{m}^{2}}\] \[\therefore \]  Increase in the surface                 \[=135000-60000\]                           \[=75000\text{ }c{{m}^{2}}\] Hence per cent of increase in the surface                 \[=\frac{75000\times 100}{60000}=125\]


You need to login to perform this action.
You will be redirected in 3 sec spinner