Question

Dimensions of cuboid io are in ration is 3: 2:1. and total
surface area is 198. Find the volume​

Answer 1

Answer:

Solution

Step-by-step explanation:

let

length = 3x

breadth = 2x

height = x

so

Surface area of cuboid = lb + bh + hl

198 = 6x2 + 2x2 +3x2

198 = 11x2

198 / 11 = x2

18 = x2

_/18 = x

3_/2 =x

so length = 3 × 3_/2 = 9_/2

breadth = 2 × 3_/2 = 6_/2

height = 1 × 3_/2 = 3_/2

Now,

Volume = l × b × h

= 9_/2 × 6_/2 × 3_/2

= 162 × 2 × _/2

= 324_/2 unit cube

Hope it helps you