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The volume of a cuboid is 1536 m^(3). It...

The volume of a cuboid is `1536 m^(3)`. Its length is 16m, and its breadth and height are in the ratio `3 : 2`. Find the breadth and height of the cuboid.

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The correct Answer is:
12m, 8 m
Let the breadth be 3x metres and height 2x metres. Then,
`16 xx 3x xx 2x = 1536 rArr x^(2) = (1536)/(96) = 16 rArr x = 4`
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RS AGGARWAL-VOLUME AND SURFACE AREA OF SOLIDS-Exercise 15A
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  3. How many cubic centimetres of iron are there in an open box whose e...

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  4. A box made of sheet metal costs 6480at 120per square metre.If the box...

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  5. The volume of a cuboid is 1536 m^(3). Its length is 16m, and its bread...

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  6. How many person can be accommodated in a dining hall of dimensions (20...

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  7. A classroom is 10 m long, 6.4 m wide and 5m high. If each student be g...

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  8. The surface area of a cuboid is 758 cm^(2). Its length and breadth are...

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  9. In a shower, 5 cm of rain falls. Find the volume of water that falls o...

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  10. Find the volume, the lateral surface area, the total surface area and ...

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  11. The total surface area of a cube is 1176 cm^(2). Find its volume

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  12. The lateral surface area of a cube is 900 cm^(2). Find its volume

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  13. The volume of a cube is 512 cm^(3). Its total surface area is

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  14. Three cubes of metal with edges 3cm, 4 cm and 5 cm respectively are me...

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  15. The length of the longest rod that can be placed in a room of dimensio...

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  16. The sum of length, breadth and depth of a cuboid is 19\ c m and length...

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  17. Each edge of a cube is increased by 50%. Find the percentage increa...

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  18. If V is the volume of a cuboid of dimensions a ,\ b ,\ c\ a n d\ S ...

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  19. Water in a canal, 30\ d m\ w i d e\ a n d\ 12 d m\ d e e p ,\ is f...

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  20. A solid metallic cuboid of dimensions 9m xx 8m xx2 is melted and recas...

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