4. The sides of a cuboid are in the ratio. 6: 4:3. Surface area of its faces is 432 sq. m. Find its sides
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Let the length of the cuboid =6x, breadth =5x, height =3x
Total surface area of a cuboid of length l, breadth b and height h
=2(l×b+b×h+l×h)
Given, total surface area of the cuboid =504cm
2
2(6x×5x+5x×3x+6x×3x)=504cm
2
126x
2
=504
=>x=2
Hence, the length of the cuboid =6x=12cm, breadth =5x=10cm, height =3x=6cm
Volumeof a cuboid of length l, breadth b and height h =l×b×h
So, the volume of the cuboid with length =12cm, breadth =10cm and height =6cm=12×10×6=720cm
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