The dimensions of a cuboid are in the ratio 3:2:2 and the lateral surface area of cuboid is 2000m^2 . The outer surface of the cuboid is painted with coloured enamel at the rate of Rs 8 per m square. Find the total cost of painting the outer surface of the cuboid
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Let length : breadth : height = 1 : 2 : 3
⇒ l =x , b = 2x , h = 3x
TSA of a cuboid = 2(lb+bh+lh)
=2(x×2x+2x×3x+x×3x)
=2(2x
2
+6x
2
+3x
2
)
88m
2
=22x
2
m
2
⇒x
2
=
22
88
m
2
m
2
∴x=±2
So the dimensions are 2×4×6
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