the dimension of a cuboid are in ratio 5:3:1 and its total surface area is 414 cubic metre find the dimensions of the cuboid
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Answered by
4
Let the dimensions of a cuboid be X
5:3:1=5x+3x+x=414
9x=414
x=414/9
X=46
5x=5*46=230
3x=3*46=138
x=46
Plz mark in brainliest ans..
5:3:1=5x+3x+x=414
9x=414
x=414/9
X=46
5x=5*46=230
3x=3*46=138
x=46
Plz mark in brainliest ans..
Answered by
9
let the ratio be x
5x:3x:x
total surface area of cuboid=
2(lb+bh+hl)=2(5x×3x+3x×x+x×5x)=2(15x^2+3x^2+5x^2)=2(23x^2)=46x^2
ATQ,
46x^2=414m^3
x^2=414m^3/46=9
x=√9m^3=3m
dimension of cuboid,
5x:3x:1x
5×3m:3×3m:1×3m
15m:9m:3m
hope this will help you
5x:3x:x
total surface area of cuboid=
2(lb+bh+hl)=2(5x×3x+3x×x+x×5x)=2(15x^2+3x^2+5x^2)=2(23x^2)=46x^2
ATQ,
46x^2=414m^3
x^2=414m^3/46=9
x=√9m^3=3m
dimension of cuboid,
5x:3x:1x
5×3m:3×3m:1×3m
15m:9m:3m
hope this will help you
Hushan:
now its good
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