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If the length breadth and the height of cuboid are in the ratio 6 :5 : 4 and if the total surface area is 33300 cm 2, then the length, breadth and height in cm. are respectively?

90, 85, 60
85, 75, 60
90, 75, 70
90, 75, 60

Correct Answer: 90, 75, 60

Explanation:

Let length = 6k, breadth = 5k and height = 4k in cm
∵ 2(6k x 5k + 5k x 4k + 6k x 4k) = 33300
⇒ 148k² = 33300
⇒ k² = 33300/148 = 225
⇒ k = 15
∴ Length = 90 cm, Breadth = 75 cm, Height = 60 cm

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