Question

11. The dimensions of a cuboid are in the ratio of 2:3:4 and its total surface area
is 280m2

. Find the dimensions.

Answer 1

Given :-

:- Dimension of cuboid = 2: 3: 4

let the dimension is 2x, 3x, 4x

:- Total surface area = 280m²

Total surface area of cuboid = 2( lb + bh + hl)

280= 2( 2X×3X + 3X×4X + 4X×2X)

280/2 = 6x² + 12x² + 8x²

140 = 26x²

x²= 140/26

x²= 70/13