Question

The dimensions of a cuboid are in the ratio of 2:3:4 and its total surface area is 3744m2. Find the dimensions.

Answer 1

Answer:

length=33.6m;breadth=25.2m;height=16.8m

Step-by-step explanation:

let the whole =x

dimensions = 2x,3x,4x

let, l=4x,b=3x,h=2x

T. S. A of cuboid =2(lb+bhi+hl)

2(lb+bh+hl)=3744

2{(4x*3x)+(3x*2x)+(2x*4x)}=3744

2(12x²+6x²+8x²)=3744

2(26x²)=3744

52x²=3744

x²=3744/52

x²=72

x=√72=8.4

length=4x=4*8.4=33.6

breadth=3x=3*8.4=25.2

height=2x=2*8.4=16.8

I hope my answer helps you

Answer 2

Hope this answer helps you ^_^ !