Question

find the volume of a cuboid if its surface area is 208 sqcm and the ratio of length,breath and height is 2 : 3 : 4

Answer 1

Answer let the dimensions be 2x,3x and 4x so surface area is equal to 2(lb+bh+hl) = 208

Lb+bh+hl= 104

2x*3x+3x*4x+4x*2x= 104

6x^2+12x^2+8x^2= 104

26x^2=104

x^2=104/26=4

X=2

2x= 4

3x= 6

4x= 8

L*b*h= volume

4*6*8= 192