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.

# 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 Fill Out the Form for Expert Academic Guidance!l

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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. 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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