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
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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
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