Q103 ;UPTET Feb 2016,p1

0. The length, breadth and height of a cuboid are in the ratio of 6 : 5 : 4. If the total surface area is 5328 cm² , then the length, breadth and height of the cuboid will be

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Option : C
Explanation : Let the length, breadth and height of the cuboid be 6x, 5x and 4x cm respectively.
Then, 2 (l x b + b x h + h x l) = 5328
⇒ 2 (6x x 5x + 5x x 4x + 4x x 6x) = 5328
⇒ 2 (30x² + 20x² + 24x²) = 5328
⇒ 2 x 74x² = 5328
⇒ 148x² = 5328
⇒ x² = 36
⇒ x = 6.
Then, length = 6 x 6 = 36 cm
Breadth = 6 x 5 = 30 cm
Height = 6 x 4 = 24cm.

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