Direction: Consider the following for the next two (02) items:The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.Q. What is the surface area of the cuboid?a)288 cm2b)216 cm2c)144 cm2d)Cannot be demined due to insufficient dataCorrect answer is option 'A'. Can you explain this answer?

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Direction: Consider the following for the next two (02) items:
The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.
Q. What is the surface area of the cuboid?

a)
288 cm²
b)
216 cm²
c)
144 cm²
d)
Cannot be demined due to insufficient data

Correct answer is option 'A'. Can you explain this answer?

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CDS I - Mathematics Previous Year Question Paper 2019

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Direction: Consider the following for the next two (02) items:The sum ...

Let lengths, breadth and height of cuboid be l, b and h respectively
According to question l+b+h = 22cm……(i)
and √(l²+b²+h²) = 14cm …..(ii)
Surface area of cuboid = 2(lb+bh+lh)
Squaring eq (i) gives
l²+b²+h² + 2(lb+bh+lh) = 484
Substituting l²+b²+h² from eq (i)
2(lb+bh+lh) = 484-196 = 288 cm²

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Direction: Consider the following for the next two (02) items:The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14 cm.Q. What is the surface area of the cuboid?a)288 cm2b)216 cm2c)144 cm2d)Cannot be demined due to insufficient dataCorrect answer is option 'A'. Can you explain this answer?

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