Question

the dimension of a cuboid are in the ratio 1:2:3 and its total surface area is 88 m square find the dimension

Answer 1

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Answer 2

Answer with step-by-step-explanation:

Since the dimensions of the cuboid are in the ratio 1:2:3 and its total surface area is 88 m². So, let the dimensions be x, 2x, 3x in metres.

Now,

Surface Area = 88 m²

⇒ 2 (x × 2x + 2x × 3x + 3x × x) = 88

⇒ 2 (2x² + 6x² + 3x²) = 88

⇒ 2 × 11x² = 88

⇒ 22x² = 88

⇒ x² = 88/22 = 4

⇒ x² = 2²

⇒ x = 2 m

Hence, 2x = 2 × 2 = 4 m

3x = 3 × 2 = 6 m