Question

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

Plz i need full explanation

Answer 1

Answer:

ANSWER

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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