What is the surface area of the cuboid ........

Quantitative Aptitude (CDS) Coordinate Geometry

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.

What is the surface area of the cuboid?

288 cm²

216 cm²

144 cm²

Cannot be demined due to insufficient data

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Explanation:

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