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?
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