Question

The dimensions of a cuboid are in the ratio 2:3:4 and its total surface area is 468 sq.m. Find the dimensions of the cuboid.

Answer 1

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Answer 2

ANSWER:-------

given the ratio between the dimensions of the cuboid 2 : 3 : 4

let the dimensions of the cuboid be 2x, 3x and 4x.

given the total surface area of the cuboid = 468cm^2

formula for the TSA of a cuboid is 2(lb + bh + lh)

⇒ 2( lb + bh + lh) = 468cm^2

⇒ (2x * 3x) + (3x * 4x) + (2x * 4x) = 468/2

⇒ 6x^2 + 12x^2 + 8x^2 = 234

⇒ 26x^2 = 234

⇒ x^2 = 234/26

⇒ x^2 = 9

⇒ x = √9

⇒ x = 3cm

hence, the dimensions of the cuboid are :-

1. 2x = 2 * 3 = 6cm

2. 3x = 3 * 3 = 9cm

3. 4x = 4 * 3 = 12cm

T!-!ANKS!!