Home
Class 9
MATHS
The dimensions of a cuboid are in the ...

The dimensions of a cuboid are in the ratio of `1:2: 3.` So, let the dimensions be `x , 2x , 3x` in metres. its total surface area is 88 cm^2. find the dimensions.

Text Solution

Verified by Experts

total surface area of a cuboid`=2(lb+bh+hl)`
`88cm^2=2(2x^2+6x^2+3x^2)`
so `88=11x^2`
`x=2(2)^(1/2)`
so dimensions are `2(2)^(1/2),4(2)^(1/2),6(2)^(1/2)`
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

The dimensions of the cuboid are in the ratio 3:2:1 volume of the cuboid is 384cu.cm

The dimensions of a cuboid are in the ratio of 1:2:3: and its total surface area is 88m^(2). Find the dimensions.

The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is 88m^(2). Find the dimensions.

The dimensions of a cuboid are in the ratio 2:3:4. Its total surface area is 1872cm^(^^)2. Find its dimensions.

The dimensions of a cuboid are in the ratio 5:3:1 and its total surface area is 414\ m^2dot Find the dimensions.

The dimensions of a cuboid are 8mxx6mxx4m .Its lateral surface area is

External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm^2 is Rs 11,750, find the dimensions of the box.

The dimensions of a cuboids are 8cm,2cm,1cm. Then the total area of 4 walls is

RD SHARMA-SURFACE AREA AND VOLUME OF A CUBOID AND CUBE-All Questions
  1. Find the surface area of a chalk box whose length, breadth and heigh...

    Text Solution

    |

  2. Find the surface area of a cube whose edge is 11\ c m

    Text Solution

    |

  3. The dimensions of a cuboid are in the ratio of 1:2: 3. So, let the ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. A small indoor greenhouse (herbarium) is made entirely of glass pan...

    Text Solution

    |

  7. A plastic box 1. 5\ m long, 1. 25\ m wide and 65\ c m deep is to ...

    Text Solution

    |

  8. A cuboidal oil tin is 30\ c m by 40\ c m by 50\ c mdot Find the ...

    Text Solution

    |

  9. Find the area of the four walls of a room whose length is 6\ m , br...

    Text Solution

    |

  10. A swimming pools is 20\ m in length, 15\ m\ in breadth, and 4\ ...

    Text Solution

    |

  11. The floor of a rectangular hall has a perimeter of 250 mdot Its heig...

    Text Solution

    |

  12. The floor of a rectangular hall has a perimeter 250 m\ dot If the c...

    Text Solution

    |

  13. A cuboid has total surface area of the 40 m^2 and its lateral surf...

    Text Solution

    |

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

    Text Solution

    |

  15. The length of a cold storage is double its breadth. Its height is 3...

    Text Solution

    |

  16. The cost of papering four walls of a room at 70 paise per squar emte...

    Text Solution

    |

  17. The dimension of a rectangular box are in the ratio 2:3:4 and the ...

    Text Solution

    |

  18. The length of a hall is 20\ m and width 16\ mdot The sum of the ...

    Text Solution

    |

  19. The sum of length, breadth and depth of a cuboid is 19cm and length ...

    Text Solution

    |

  20. Find the number of bricks, each measuring 25 cm xx 12. 5 c m xx 7. 5...

    Text Solution

    |