The length breadth and height are in the ratio 3:2:1 if the total surface area is 550 . Find it's dimensions and also the volume of the cuboid
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Let length = 3x
Breadth= 2x
And height = x
Formula for t.s.a = 2( lb+bh+hl)
550 unit = 2(3x*2x + 2x*x + x*3x)
550/2 unit = (6x^2+ 2x^2+ 3x^2)
275 unit = 11x square
275/11 = x square
√25 = x
5 = x
Now length = 3x = 3*5 = 15 unit
Breadth = 2x = 2*5 = 10 unit
Height = x = 5 unit
Now volume of cuboid
=l*b*h
= 15*10*5
= 750 unit ^3
* i have mention unit because u have not specified the value as in cm or m etc.
Hope it helps
Breadth= 2x
And height = x
Formula for t.s.a = 2( lb+bh+hl)
550 unit = 2(3x*2x + 2x*x + x*3x)
550/2 unit = (6x^2+ 2x^2+ 3x^2)
275 unit = 11x square
275/11 = x square
√25 = x
5 = x
Now length = 3x = 3*5 = 15 unit
Breadth = 2x = 2*5 = 10 unit
Height = x = 5 unit
Now volume of cuboid
=l*b*h
= 15*10*5
= 750 unit ^3
* i have mention unit because u have not specified the value as in cm or m etc.
Hope it helps
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