Home
Class 12
MATHS
A rectangular sheet of tin 45 cm by 24 c...

A rectangular sheet of tin 45 cm by 24 cm is to made into a box without top, by cutting-off square from each other corner and folding up the flaps. What should be the side of the square to be cut-off so that the volume of the box is maximum?

Text Solution

Verified by Experts

The correct Answer is:
5 cm
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|13 Videos
  • APPLICATION OF DERIVATIVES

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS (C) APPROXIMATIONS|9 Videos
  • ANNUAL EXAMINATION QUESTION PAPER MARCH 2017

    SUBHASH PUBLICATION|Exercise PART-D|9 Videos
  • APPLICATIONS OF INTEGRALS

    SUBHASH PUBLICATION|Exercise TRY YOURSELF|5 Videos

Similar Questions

Explore conceptually related problems

A square piece of tin of side 18 cm is to be made into a box without top, by cutting off square from each corner and foling up the flaps of the box. What should be the side of the square to be cut off so that the volume of the box is maximum possible.

An open topped box is to be constructed by removing equal squares from each corner of a 3 metre by 8 metre rectangular sheet of aluminium and folding up the sides. Find the volume of the largest such box.

The height of cone is 20m. A small cone is cut off from it at its top by the plane parallel to the base. If the volume of small cone is (1)/(1000) th of the volume of given conc, at what height above the base the section is made.

From the top of a cone of base radius 12 cm and height 20 cm. a small cone of base radius 3cm is to be cut off. How far down the vertex is the cuts should be made ? Find the volume of the frustum so obtained .

The height of a cone is 30 cm. a small cone is cut off at the top by a plane parallel to its base. If its volume be 1/(27)th volume of the given cone, at what height above the base is the section cut off ?

SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE
  1. Find the local maxima and local minima. If any of the following functi...

    Text Solution

    |

  2. Find the local maxima and local minima. If any of the following functi...

    Text Solution

    |

  3. Find the local maxima and local minima. If any of the following functi...

    Text Solution

    |

  4. Find the local maxima and local minima. If any of the following functi...

    Text Solution

    |

  5. Prove that the following functions do not have maxima or minima: (a)...

    Text Solution

    |

  6. Prove that the following functions do not have maxima or minima: (b)...

    Text Solution

    |

  7. Prove that the following functions do not have maxima or minima: (c)...

    Text Solution

    |

  8. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  9. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  10. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  11. Find the absolute maximum value and the absolute minimum value of the ...

    Text Solution

    |

  12. Find both the maximum value and the minimum value 3x^(4) - 8x^(3) + 12...

    Text Solution

    |

  13. Find the maximum value of 2x^(3) - 24x + 107 in the interval [1,3]. Fi...

    Text Solution

    |

  14. It is given that at x = 1, the function x^(4) - 62x^(2) + ax + 9 attai...

    Text Solution

    |

  15. Find two number whose sum is 24 and whose product is larger as possibl...

    Text Solution

    |

  16. Find two positive numbers x and y such that x + y = 60 and xy^(3) is m...

    Text Solution

    |

  17. Find two positive numbers x and y such that their sum is 35 and the p...

    Text Solution

    |

  18. Find two positive numbers whose sum is 16 and the sum of whose cubes i...

    Text Solution

    |

  19. A square piece of tin of side 18 cm is to be made into a box without t...

    Text Solution

    |

  20. A rectangular sheet of tin 45 cm by 24 cm is to made into a box withou...

    Text Solution

    |