the dimension of cuboid are in ratio3:4:5and its total surface area is 3384cm2.find the dimension of cuboid
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Let the edges will be 3y,4y and 5y.
T.S.A.=2(lb×lh×bh)
2[(3y×4y)×(3y×5y)×(4y×5y)]=3384
2[12y²+15y²+20y²]=3384
2×47y²=3384
94y²=3384
y²=3384/94
y²=36
y=6 cm
3y=3×6=18 cm
4y=4×6=24 cm
5y=5×6=30 cm.
The edges of cuboid will 18 cm, 24 cm and 30 cm...
T.S.A.=2(lb×lh×bh)
2[(3y×4y)×(3y×5y)×(4y×5y)]=3384
2[12y²+15y²+20y²]=3384
2×47y²=3384
94y²=3384
y²=3384/94
y²=36
y=6 cm
3y=3×6=18 cm
4y=4×6=24 cm
5y=5×6=30 cm.
The edges of cuboid will 18 cm, 24 cm and 30 cm...
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I hope it will help you....
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