Home
Class 9
MATHS
Length of a class-room is two times its ...

Length of a class-room is two times its height and its breadth is `1 1/2` times its height. The cost of white-washing the walls at the rate of `R s .1.60 per m^2` is `R s .179.20.` Find the cost of tiling the floor at the rate of `R s .6.75p e rm^2dot`

Text Solution

Verified by Experts

Let height of the room be 'h' m.∴ length of the room=2hm
breadth of the room= 3/2hm
area of '4' walls
='179.20/1.60
=112m^2
2(l+b)×h=112
2(2h+ 3/2h)×h=112
2×7/2×h^2=112
h^2= (112×2)/14
h=16^1/2'
=4m'
length='4×2=8m', breadth= '3/2 ×4=6m'
For,tiling the floor area='l×b=8×6=48m'
Cost of tiling='48×6.75'='Rs324'
Promotional Banner

Topper's Solved these Questions

  • RATIONALISATION

    RD SHARMA|Exercise All Questions|130 Videos
  • SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER

    RD SHARMA|Exercise All Questions|133 Videos

Similar Questions

Explore conceptually related problems

Length of a class room is two times its height and its breadth is 1 1/2 times its height. The cost of white-washing the walls at the rate of R s .1.60 p e r m^2 is R s .179.20. Find the cost of tiling the floor at the rate of R s .6.75 p e r m^2

Length of a classroom is three times its height and its breadth is 2 1/2 times its height. The cost of white-washing the walls at the rate of Rs.1.60 per m^2 is Rs. 158.4 . Find the cost of tiling the floor at the rate of Rs. 10 per m^2

The length of a room is 3 times its height and breadth is 1(1)/(2) times its height.The cost of whitewashing the walls at the rate of Rs. 71.50 per sq.m is Rs.216. Find the dimensions of the room.

The internal length of a room is two times its breadth and three times its height. The total cost of painting its four walls at the rate of Rs. 25/ m^(2) is Rs. 3,600. What is the cost of laying a carpet on its floor at the rate of Rs. 90.50/ m^(2) ?

A classroom is 7m long, 6m broad and 3.5m high. Doors and windows occupy an area of 17\ m^2dot What is the cost of white-washing the walls at the rate of Rs. 1. 50\ p e r\ m^2dot

The length of a room is 50 per cent more than its breadth.The cost of carpeting the room at the rate of Rs38.50m^(2) is Rs924 and the cost of painting the walls at the rate of Rs 5.50 per m^(2) is 1,320. Find the dimensions of the room.

The base radius of the cylinder is 1 2/3 times its height. The cost of painting its C.S.A. at 2 paise/ cm^(2) is Rs 92.40. The volume of the cylinder is

Find the cost of white washing the four walls of a cubical room of side 4 m at the rate of Rs 20/ m^(2)

The central hall of a school is 80m long and 8m high. It has 10 doors each of size 3m xx1. 6 m and 10 windows each of size 1. 5 m xx 1mdot If the cost of white-washing the walls of the hall at the rate of R s .1.20\ p e r\ m^2 is Rs. 2385.60, find the breadth of the hall.

The length,breadth and height of a room are 5m,4m and 3m readth antively.Find the cost of white washing the walls of the room and the ceiling at the rate of Rs.7.50m^(2).

RD SHARMA-SURFACE AREA AND VOLUME OF A CUBOID AND CUBE-All Questions
  1. A match box measures 4c mxx2. 5 c mxx1. 5 c mdot What will be the volu...

    Text Solution

    |

  2. The paint in a certain container is sufficient to paint on area equ...

    Text Solution

    |

  3. Length of a class-room is two times its height and its breadth is 1 ...

    Text Solution

    |

  4. A cuboid has total surface area of 40m^2 and its lateral surface ar...

    Text Solution

    |

  5. The cost of preparing the walls of room 12m long at the rate of Rs....

    Text Solution

    |

  6. Ravish wanted to make a temporary shelter for his car by making a b...

    Text Solution

    |

  7. A wooden bookshelf has external dimensions as follows: H e igh t=110...

    Text Solution

    |

  8. The length and bredth of a hall are in the ratio 4:3 and its height...

    Text Solution

    |

  9. A cubical box has each edge 10 c m and another cuboidal box is 12....

    Text Solution

    |

  10. The dimensions of a cuboid are in the ratio of 1:2:3: and its total...

    Text Solution

    |

  11. Find the surface area of a chalk box whose length, breadth and heigh...

    Text Solution

    |

  12. A swimming pool is 20 m in length, 15 m in breadth, and 4m in depth. F...

    Text Solution

    |

  13. A cuboidal oil tin is 30 c mby40cm by 50 c m . Find the cost of the ...

    Text Solution

    |

  14. A plastic box 1. 5 m long, 1. 25m wide and 65 c m deep is to be made. ...

    Text Solution

    |

  15. Three cubes each of side 5c m are joined end to end. Find the surface ...

    Text Solution

    |

  16. A godown measures 40 m × 25 m × 10 m The maximum number of wooden crat...

    Text Solution

    |

  17. A child playing with building blocks, which are of the shape of the ...

    Text Solution

    |

  18. The capacity of a cuboidal tank is 50 , 000l i t r e sdot Find the ...

    Text Solution

    |

  19. A rectangular container, whose base is a square of side 5cm, stands...

    Text Solution

    |

  20. A box with lid is made of 2cm thick wood. Its external length, brea...

    Text Solution

    |