Home
Class 9
MATHS
The sum of length, breadth and depth of ...

The sum of length, breadth and depth of a cuboid is `19 c m`
and the length of its diagonal is `11 cm.`
Find the surface area of the cuboid.

Text Solution

Verified by Experts

Let length be `l`
Let breath be `b`
Let height be `h`
`l+b+h=19`
Length of diagonal`=sqrt(l^2+b^2+h^2`
`11=sqrt(l^2+b^2+h^2`
`11^2=l^2+b^2+h^2`
`11^2=19^2-2(lb+lh+hl)`
...
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 sum of length, breadth and heigth of a cuboid is 30 cm and the length of its diagonal is 22 cm. Find the surface area of the cuboid.

The sum of length,breadth and depth of a cuboid is 19cm and length of its diagonal is 11cm. Find the surface area of the cuboid.

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14cm. What is the surface area of the cuboid ?

The sum of the length, breadth and the height of a cubold is 5sqrt(3) cm and length of its diagonal is 3sqrt(5( cm. Find the tatal surface area of the cuboid.

The sum of length, breadth and height of a cuboid is 22 cm and the length of its diagonal is 14cm. If S is the sum of the cubes of the dimensions of the cuboid and V is its volume, then what is (S - 3V) equal to?

The sum of length, breadth and depth of a cuboid is 12 cm and its diagonal is 5sqrt(2) cm. Find its surface area.

RD SHARMA-SURFACE AREA AND VOLUME OF A CUBOID AND CUBE-All Questions
  1. The dimension of a rectangular box are in the ratio 2:3:4 and the d...

    Text Solution

    |

  2. The length of a hall is 20 mand width16 m dot The sum of the areas of ...

    Text Solution

    |

  3. The sum of length, breadth and depth of a cuboid is 19 c m and the l...

    Text Solution

    |

  4. Find the number of bricks, each measureing 25 c mxx12. 5c mxx7. 5c m r...

    Text Solution

    |

  5. A room is half as long as it is broad. The cost of carpenting the room...

    Text Solution

    |

  6. Shanti sweets stall was placing an order for making cardboard boxes fo...

    Text Solution

    |

  7. An agricultural field is in the form of a rectangle of length 20 m a...

    Text Solution

    |

  8. Water in a canal, 30 d mw i da n d12 d md e e p , is flowing with a ve...

    Text Solution

    |

  9. Water in a rectangular reservoir having base 80m by 60m is 6.5m deep...

    Text Solution

    |

  10. A cube of 9cm edge is immersed completely in a rectangular vessel ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |