Home
Class 8
MATHS
Show that the product of the areas of th...

Show that the product of the areas of the floor and two adjacent walls of a cuboid is the square of its volume.

Text Solution

Verified by Experts

Let length of the room`= l`
Breadth`= b`
Height`=h`
Volume`= lxxbxxh`
area of floors`=lxxb=lb`
Area of two adjacent wall`=hlxxbh`
Product of area of floors and two adjacent walls Of the room`=lb(hlxxbh)`
`l^2b^2h^2=(lxxbxxh)=(volume)^2`
Promotional Banner

Topper's Solved these Questions

  • MENSURATION-I (AREA OF A TRAPEZIUM AND A POLYGON

    RD SHARMA|Exercise All Questions|86 Videos
  • MENSURATION-III (SURFACE AREA AND VOLUME OF A RIGHT CIRCULAR CYLINDER)

    RD SHARMA|Exercise All Questions|109 Videos

Similar Questions

Explore conceptually related problems

A godown is 15m long and 12 m broad. The sum of the area of the floor and the ceiling is equal to the sum of areas of the four walls. The volume (in m^(3) ) of the godown is :

Surface areas of three adjacent faces of a cuboid are p, q, r. Its volume is

The common portion of two adjacent faces of a cuboid is called _________.

The total surface area of a cube is 150 square cm. What is its volume ?

Volume and Total surface area of cuboid

If the area of three adjacent faces of a cuboid are X, Y and Z respectively, then find the volume of cuboid.

RD SHARMA-MENSURATION-II (VOLUMES AND SURFACE AREAS OF A CUBOID AND A CUBE)-All Questions
  1. A swimming pool is 20m long 15m wide and 3m deep. Find the cost of ...

    Text Solution

    |

  2. The perimeter of a floor of a room is 30m and its height is 3m. Fin...

    Text Solution

    |

  3. Show that the product of the areas of the floor and two adjacent wa...

    Text Solution

    |

  4. The walls and ceiling of a room are to be plastered. The length, br...

    Text Solution

    |

  5. A cuboid has total surface area of 50\ m^2 and lateral surface area is...

    Text Solution

    |

  6. A classroom is 7m long, 6m broad and 3.5m high. Doors and windows o...

    Text Solution

    |

  7. The central hall of a school is 80m long and 8m high. It has 10 door...

    Text Solution

    |

  8. The volume of a cuboid is 440\ c m^3 and the area of its base is 88\ c...

    Text Solution

    |

  9. The volume of a cube is 1, 000\ c m^3dot Find its total surface ...

    Text Solution

    |

  10. The dimensions of a metallic cuboid are: 100\ c mxx80xx64\ c m . It...

    Text Solution

    |

  11. How many 3\ m e t r e\ c u b e s can be cut from a cuboid measuring...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. Two cubes each of 10cm edge are joined end to end. Find the surface...

    Text Solution

    |

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

    Text Solution

    |

  16. A plot of land in the form of a rectangle has a dimension 240 m\ x\...

    Text Solution

    |

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

    Text Solution

    |

  18. Find the number of bricks, each measuring 25 cm, 12.5 cm and 7.5 cm re...

    Text Solution

    |

  19. A metallic sheet is of the rectangular shape with dimensions 48 c m...

    Text Solution

    |

  20. How many planks each of which is 2m long, 2. 5\ c m\ broad and 4c ...

    Text Solution

    |