the ratio of l,b,h is 3:4:5 find it total surface area
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Given length,breadth height of a cuboid are in ratio 5:4:2.
Total surface area of cuboid is 1216 sq cm.
Let length, breadth and height of cuboid be 5x, 4x and 2x respectively.
So, total surface area of cuboid =2(lb+bh+lb)
=2(5x×4x+4x×2x+5x×2x)
=2(20x
2
+8x
2
+10x
2
)
=2(38x
2
)
=76x
2
Total surface area of cuboid =1216cm
2
⇒76x
2
=1216cm
2
⇒x
2
=16
⇒x=4
Dimensions of cuboid are :
Length =5x=5×4=20 m
Breadth =4x=4×4=16 m
Height =2x=2×4=8 m
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Step-by-step explanation:
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