The surface area of a cuboid is 1372 $c m^{2}$ . If its dimensions are in the ratio 4: 2:1, then its length(in cm) is:

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Solution

The correct option is D
28

SA = 1372 $c m^{2}$ (Given)

2(l × b + b × h + l × h) = 1372

Since, it is given that

l:b:h = 4:2:1

Let l=4k, b=2k and h=k

Therefore, 2(4k × 2k + 2k × k +4k × k) = 1372

28 $k^{2}$ = 1372

$k^{2}$ = 49

k = 7

Therefore, l = 4k = 4 × 7 = 28cm

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