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Question

The length of a cuboid is twice its breadth. The breadth is twice its height. Then, the ratio of LSA to TSA is .

A
3:7
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B
7:3
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C
7:2
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Solution

The correct option is A 3:7
Given, length of the cuboid (l)=2b,
breadth of the cuboid (b)=2h,
Therefore, l=2×2h = 4h, where h is the height of the cuboid.

Lateral surface area
=2(lh+bh)=2(4h×h+2h×h)=12h2

Total surface area
=2(lb+bh+lh)=2(4h×2h+2h×h+4h×h)=28h2

Ratio
=lateral surface areatotal surface area=12h228h2=37

Therefore, the ratio of LSA and TSA is 3:7

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