The dimensions of cuboid are in ratio 1:2:3,the total surface area of cuboid is 88sq.m.find the dimensions?
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Let
Length=3x
Breadth=2x
Height=x
TSA of cuboid=2(lb+bh+hl)
88=2(3xX2x+2xXx+3xXx)
88/2=6x^2+2x^2+3x^2
44=11x^2
x^2=44/11
x^2=4
x=+2,-2
Dimension can not be negative so x=2m
L=2X3=6m
B=2X2=4m
H=2X1=2m
Length=3x
Breadth=2x
Height=x
TSA of cuboid=2(lb+bh+hl)
88=2(3xX2x+2xXx+3xXx)
88/2=6x^2+2x^2+3x^2
44=11x^2
x^2=44/11
x^2=4
x=+2,-2
Dimension can not be negative so x=2m
L=2X3=6m
B=2X2=4m
H=2X1=2m
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