Question

The dimensions of a cuboid are in the ratio of 1:2: 3 and its total surface area is 88 m². Find its dimensions.​

Answer 1

The dimensions of the cuboid are in the ratio 1:2:3.

Let the dimensions be x, 2x, 3x in meters.

Surface area = 88m²

Therefore, 2(x × 2x + 3x + x × 3x ) = 88

$= > \: 2{x}^{2} + 6 {x}^{2} + 3 {x}^{2} = \: 44$

$= > \: 11 {x}^{2} = \: 44$

$= > \: {x}^{2} = \: 44$

$= > \: {x}^{2} = 4$

$= > \: x = 2$

Therefore, the dimensions are 2m ,2×2m =4m and 3×2 m= 6m .