2. Questions Bank
  3. 10th Class
  4. Mathematics
  5. Mensuration

10th Class Mathematics Mensuration Question Bank Mensuration

  • question_answer
    The length of a hall with a flat roof is 20 m and width is 16 m. If the sum of the areas of the floor and roof is equal to the total area of the 4 walls, then the ratio of the Numerical value of the height to the volume of the hall is

    A)  1 : 600                 

    B)  1: 200

    C)  1 : 240              

    D)         1: 320  

    Correct Answer: D

    Solution :

     Given, Length of hall \[=20\text{ }m,\]Width \[=16\text{ }cm.\] Let height of hall is h m Then by hypothesis, Area of the floor + Area of roof = Area of 4 walls or            \[20\times 16+20\times 16=2(20+16)h\] or            \[320=72h\] or            \[h=\frac{320}{72}=\frac{80}{9}\,m\] Hence, ratio of height to volume of hall                 \[=\frac{80}{9}:20\times 16\times \frac{80}{9}\]                 \[=1:320\]


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