MathematicsThe length, breadth and height of a cuboid are in the ratio 4:2:1 and its total surface area is. Find the dimensions of the cuboid.



The length, breadth and height of a cuboid are in the ratio 4:2:1 and its total surface area is. Find the dimensions of the cuboid.

  1. A
  2. B
  3. C
  4. D
     

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    Solution:


    We are given that the total surface area of a cuboid is and the ratio of its length to breadth to height is 4:2:1. We have to find the dimensions of the cuboid.
    Let the length be 4a m, breadth be 2a m and height be 1a m.
    IMG_256
    Total surface area of the cuboid is.

    We are already given that TSA of the cuboid is.
    This means
     
    We have got the value of  7 m.
    Therefore length is 4a m which is equal to , breadth is 2a m which is and height is 1a m which is .
    Therefore, the dimensions of the cuboid are .
    Hence, option 2 is the correct Ans:.
     
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