Home
Class 8
MATHS
Three cubes with sides in the ratio 3...

Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a single cube whose diagonal is `12sqrt(3)c m` . The sides of the cubes are (a) 3 cm, 4 cm, 5 cm (b) 6 cm, 8 cm, 10 cm (c) 9 cm, 12 cm, 15 cm (d) None of these

A

6 cm, 8 cm, 10 cm

B

3 cm, 4 cm, 5 cm

C

9 cm, 12 cm, 15 cm

D

12 cm, 16 cm, 20 cm

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer/Numerical Value Type)|10 Videos
  • LINEAR EQUATIONS IN ONE VARIABLE

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner |15 Videos
  • PLAYING WITH NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|6 Videos

Similar Questions

Explore conceptually related problems

Three cubes with sides in the ratio 3:4:5 are melted to form a single cube whose diagonal is 12sqrt(3)cm. The sides of the cubes are (a) 3cm,4cm,5cm(b)6cm,8cm,10cm(c)9cm,12cm,15cm(d)None of these

Three cubes of metal whose edges are in the ratio 3:4:5 are melted down into a single cube whose diagonal is 12sqrt(3)cm. Find the edges of three cubes.

Three cubes of metal whose edges are in the ratio 3:4:5 are melted down in to a single cube whose diagonal is 12(sqrt(3)) cm. Find the edges of the three cubes.

Three cubes of a metal whose edge are in the ratio 3:4:5 are melted and converted into a single cube whose diagonal is 12 sqrt3 cm. Find the edge of three cubes

Three cubes of sides 6 cm, 8 cm and 1 cm are melted to form a new cube. The surface area of the new cube is

In which of the following cases, a right triangle cannot be constructed? 12 cm, 5 cm, 13 cm (b) 8 cm, 6 cm, 10 cm 5 cm, 9 cm 11 cm (d) None of these

Three cubes of metal with edges 3cm, 4 cm and 5 cm respectively are melted to form a single cube. The lateral surface area of the new cube formed is

MTG IIT JEE FOUNDATION-MENSURATION-Olympiad/HOTS Corner
  1. The volume of two cubes are in the ratio 1 : 64. If the volume of the ...

    Text Solution

    |

  2. Match the following:

    Text Solution

    |

  3. A swimming bath is 24 m long and 15 m broad. When a number of men d...

    Text Solution

    |

  4. Sam cut out 6 identical circles from a rectangular piece of paper show...

    Text Solution

    |

  5. The perimeter of the rectangular field is 406 m. What will be its area...

    Text Solution

    |

  6. A regular octagon is formed by cutting an isosceles right triangle fro...

    Text Solution

    |

  7. Find the area of the given figure (not drawn to scale).

    Text Solution

    |

  8. If the height of a cylinder becomes (1)/(2) of the original height and...

    Text Solution

    |

  9. If the areas of three adjacent faces of a cuboid are x ,\ y ,\ z re...

    Text Solution

    |

  10. The edge of a cube is doubled then the percentage increase in the volu...

    Text Solution

    |

  11. The area of the field ABGFEA (not drawn to scale) is

    Text Solution

    |

  12. If radius of circle is 7 cm, then the perimeter of the figure and area...

    Text Solution

    |

  13. A Rangoli has been drawn on a flor of a house. ABCD and PQRS both are ...

    Text Solution

    |

  14. The difference of the area of the circumscribed and the inscribed squa...

    Text Solution

    |

  15. An icecream company makes a popular brand of icecream in a rectangular...

    Text Solution

    |

  16. A rectangular block of wood has dimensions 24 cm by 9 cm by 7 cm. It i...

    Text Solution

    |

  17. Find the area of the given figure (not drawn to scale).

    Text Solution

    |

  18. Sum of the lengths of all edges of a cube is x metres. If the surface ...

    Text Solution

    |

  19. If one of the diagonals of a rhombus is equal to its side, then the di...

    Text Solution

    |

  20. Three cubes with sides in the ratio 3 : 4 : 5 are melted to form a ...

    Text Solution

    |