Question

The dimensions of a cuboid are in the ratio 2 : 3 : 4 and its total surface area is 5200 2
cm . Find thelateral surface area and volume of the cuboid?

Answer 1

Question ⬇️

The dimensions of a cuboid are in the ratio 2 : 3 : 4 and its total surface area is 5200 2

cm . Find thelateral surface area and volume of the cuboid?

Solution ⬇️

The dimensions of cuboid are given in the ratio

let the ratio be 2 x : 3 x : 4 x

$The \: TSA : {3328cm}^{2}$

2 [ lb + bh + hl ] = 3328

2 [ 2x + 3x + 3x + 4x + 4x + 2x ] = 3328

${6x}^{2} + {12x}^{2} + {8x}^{2} = 1664$

${x}^{2} = 1664/26$

${x}^{2} = 64$

${x}^{2} = \sqrt{64}$

${x} = 8cm$

The dimensions of cuboid are

2x = 2 × 8 = 16

hope this will help you...