Home
Class 10
MATHS
The length and breadth of n rectangular ...

The length and breadth of n rectangular field of a village are 20 m and 15 m respectively. For construction of pillars in the 4 corners of that field 4 cubic holes huving length of 4 m are dug out and the soils removed arc dispersed on the remaining land. Calculate the height of the surfaces of the field that is increased by it.

Text Solution

Verified by Experts

The volume of soil of one hole `=4^3` cu-m = 64 cm
`therefore` the volume of soil of 4 holes `=64 xx 4` cu - m = 256 cu -m
Let the height of the surface of the field be increased by h metres. `therefore` the volume of the soil thus increased `= 20 xx 15 xx h ` cu- metres
As per condition `20 xx 15 xx h =256 ` or ,`h= (256)/(20xx 15)=0.85 ` metre ( approx)
Promotional Banner

Topper's Solved these Questions

  • RECTANGULAR PARALLELOPIPED OR CUBOID

    CALCUTTA BOOK HOUSE|Exercise EXERCISE-(MCQs)|40 Videos
  • RATIO AND PROPORTION

    CALCUTTA BOOK HOUSE|Exercise EXERCISE - 2.2 (Long Answer Type Questions)|19 Videos
  • RIGHT CIRCULAR CONE

    CALCUTTA BOOK HOUSE|Exercise Exercise 3|14 Videos

Similar Questions

Explore conceptually related problems

The length and breadth of a rectangular field of the village are 20m and 15 m respectivley. For construction of pillars in the 4 corners of that filed 4 cubic holes having length of 4 m are dug out and the soils removed are dispersed on the remaining land. Calculate 6 and write the height of the surface of field that is increased by.

The length and breadth of a rectangle is 4.234 m & 1.05 m respectively. The area of the rectangle will be______.

The length and breadth of a rectangular field are }54 m and 121 m respectively. If by digging a hole of length 14 m and breadth 11 m in the middle of the field, the soil thus obtained is dispersed in the remaining land, then the height of the field is increased by 25 cm. Determine the depth of the hole.

If the length and breadth of a rectangular parallelopiped be 16 m and 8 m respectively and the total surface area of it be 496 sq-metres, then the height ofit will be

The length , breath and height of a cuboidal hole are 40 m 12 m, and 16 m respectively, The number of planks having the height of 5 m , the breath of 4 m and the thickness of 2 m can be kept in that hole is

The length , breath and height of rectangular parallelopiped room are 5 m , 4 m and 3 m respectively. Find the length of the longest rod that can be put into that room.

The length and breadth of a rectangular land are 20 metres and 14 metres. A hole of length 6 metres,. of breadth 3 metres and of depth 2·5 metres is dug in one corner of the land. If the soil of this hole be strewed upon whole land, then how much the height of the land should be increased ?

The length and breadth of the rectangular court yard of the house of Amina are 6m. And 4.2 m respectively. We put a matters 3.5 xx 2.5m in the middle of the court yard. Let's find the area of the court yard except the matters and note it down.

CALCUTTA BOOK HOUSE-RECTANGULAR PARALLELOPIPED OR CUBOID-EXERCISE-(MCQs)
  1. The length and breadth of n rectangular field of a village are 20 m an...

    Text Solution

    |

  2. If the length of the diagonal of a cube be 4sqrt6cm, then the length o...

    Text Solution

    |

  3. The area of a surface of a cube is 16 sq-metres. If the weight of the ...

    Text Solution

    |

  4. If the length and breadth of a rectangular parallelopiped be 16 m and ...

    Text Solution

    |

  5. Length of a side of a cube is 3cm,find its volume and total surface.

    Text Solution

    |

  6. To make a cube of side 1 metre each, how many cubes of side 10 cm each...

    Text Solution

    |

  7. The lengths of the diagonals of each surface of a rectangular parallel...

    Text Solution

    |

  8. Among the length, breadth and height of a rectangular parallelopiped, ...

    Text Solution

    |

  9. The number of edges of a rectangular parallelopiped is .

    Text Solution

    |

  10. The lengths of the diagonals of the roof and that of the floor of a cu...

    Text Solution

    |

  11. The lateral surfaces of a cuboid are to each other.

    Text Solution

    |

  12. If the surface areas of three consecutive surface of a cuboid be x, y,...

    Text Solution

    |

  13. If three edges of a cuboid be a, b, c units volume be v cubic units an...

    Text Solution

    |

  14. The ratio of the areas of three consecutive surface of a cuboid 2 : 3 ...

    Text Solution

    |

  15. If the length of the side of a cube be doubled, then how many percenta...

    Text Solution

    |

  16. If the ratio of the total surface areas of two cubes be 16 : 25, then ...

    Text Solution

    |

  17. By melting a metal cube of side 5 cm each, some cubes of sides 1 cm ea...

    Text Solution

    |

  18. If the length of the sides of a cube of volume v be doubled, then the ...

    Text Solution

    |

  19. The length and breadth of a hall-room are 15 metres and 12 metres resp...

    Text Solution

    |

  20. If the total surface area of a cube be equal to the sum of the surface...

    Text Solution

    |

  21. If the length of the diagonals of each surface of a cube be asqrt2 uni...

    Text Solution

    |