If the length breadth and the height of cuboid are in the

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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 cm², then the length, breadth and height in cm. are respectively ?

1. 90, 85, 60
2. 85, 75, 60
3. 90, 75, 70
4. 90, 75, 60

Correct Option: D

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