Home
Class 12
MATHS
From a cuboid of dimension 4mxx6mxx8m, l...

From a cuboid of dimension `4mxx6mxx8m`, largest possible cube is cut out. What is the minimum possible number of cubes, all of equal size, into which remaining part of the solid can be cut , ensuring that no part of the solid remains?

Text Solution

Verified by Experts

The correct Answer is:
16
Promotional Banner

Topper's Solved these Questions

  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise Grib-In|32 Videos
  • ADDITIONAL TOPICS IN MATH

    ENGLISH SAT|Exercise PRACTICE TEST|24 Videos
  • COMPLEX NUMBERS

    ENGLISH SAT|Exercise EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

A solid metallic cuboid of dimensions 9m xx 8m xx2 is melted and recast in to solid cubes of edge 2 m .find the number of cubes so formed.

The biggest possible cube is taken out of a right solid cylinder of radius 4 and height 5 respectively. What is the volume of the cube?

From a disc of radius R and mass M , a circular hole of diameter R , whose rim passes through the centre is cut. What is the moment of inertia of remaining part of the disc about a perependicular axis, passing through the centre ?

From a solid sphere of M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its centre and perpendiular to one of its faces is:

A solid cube of side 12 c m is cut into 8 cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface areas.

The largest cone is curved out from one face of solid cube of side 21 cm find the volume of the remaining solid.

Ravi can throw a ball at a speed on the earth which can cross a river of width 10 m . Ravi reaches on an imaginary planet whose mean density is twice that of the earth. Find out the maximum possible radius of the planet so that if Ravi throws the ball at the same speed it may escape from the planet. Given radius of the earth = 6.4 xx 10^(6) m .

The radius (in cm) of the largest right circular cone that can be cut out from a cube of edge 4.2 cm is

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter ‘l’ of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.

ENGLISH SAT-ADDITIONAL TOPICS IN MATH-EXERCISE
  1. The imaginary number I is defined such that i^(2)=-1. Which of the fol...

    Text Solution

    |

  2. The imaginary number I is such that i^(2)=-1. Which of the following o...

    Text Solution

    |

  3. A right angled triangle ABC of sides AB=6, BC=8 and AC=10 is spun onc...

    Text Solution

    |

  4. If a+ib=sqrt(5+12i) where a>0, b>0, which of the following is a possi...

    Text Solution

    |

  5. Two friends, Amy and Bob, are standing in line with a lamp post. The s...

    Text Solution

    |

  6. In the figure OA=sqrt(80), OB=8, OC=sqrt(20). What is the length of OD...

    Text Solution

    |

  7. In a right-angled triangle ABC, right angled at B, an altitude BD is ...

    Text Solution

    |

  8. If the equation of the circle having the coordinates of the ends of it...

    Text Solution

    |

  9. If a+ib=(5+3i)(6i+1), what is the value of a^(2)+b^(2) ?

    Text Solution

    |

  10. A well, 2m radius and 40m deep, is being dug. The excavated soil is t...

    Text Solution

    |

  11. In the figure shown, ABC is a triangle, right angled at B. Through B, ...

    Text Solution

    |

  12. From a cuboid of dimension 4mxx6mxx8m, largest possible cube is cut ou...

    Text Solution

    |

  13. In the DeltaABC,DE||BC, AD=3, BD=6, and BC=8. What is the ratio of the...

    Text Solution

    |

  14. A vertical tower, OP stands at the center O of a square ABCD. Let h an...

    Text Solution

    |

  15. What is the shortest distance between the circle x^(2)+y^(2)-2x-2y=0 ...

    Text Solution

    |

  16. A balloon leaves the earth and rises at a uniform velocity. At the end...

    Text Solution

    |

  17. In DeltaABC,D and E are the mid-points of AB and AC. Again, F and G ar...

    Text Solution

    |

  18. In the figure shown, area of triangle ACE is 48. If AC is parallel to...

    Text Solution

    |

  19. In the figure above, the line TAB is tangent to the given circle. If /...

    Text Solution

    |

  20. In a parallelogram, the ratio of the two adjacent sides is 1 : 2. If t...

    Text Solution

    |