Home
Class 12
MATHS
An open box is to be made out of a piece...

An open box is to be made out of a piece of cardboard measuring `(24cmxx24cm)` by cutting off equal squares from the

Text Solution

Verified by Experts

The correct Answer is:
4 cm
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination A|5 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination B|5 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise EXERCISE Short Answer Type Questions|42 Videos

  • MATHEMATICAL REASONING

    CHHAYA PUBLICATION|Exercise JEE Main (AIEEE) Archive (2016 )|1 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

Similar Questions

Explore conceptually related problems

An open box with a square base is to be made out of a given quantity of card board of area c^(2) sq . Unit . Show that the maximum volume of the box is (c^(3))/(6sqrt(3)) cubi unit .

A box, constructed from a rectangular metal sheet, is 21 cm by 16cm by cutting equal squares of sides x from the corners of the sheet and then turning up the projected portions. The value of x so that volume of the box is maximum is (a) 1 (b) 2 (c) 3 (d) 4

A box is constructed from a rectangular metal sheet 21 cm by 16 cm cutting equal squares of sides x cm from the corners of the sheet and then turning up the projected portions. For what value of x the volume of the box will be maximum ?

A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top, by cutting off square from each 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 ?

An open box with a square base is made out of a given iron sheet of area 27 sq.m. Then, the maximum volume of the box is-

How many spherical balls can be made out of a solid cube of lead whose edge measures 44 cm and each ball being 4 cm in diameter.

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

An open box, with a square base, is to be made out of a given quantity of metal sheet of area A^(2) , then the maximum volume of the box is-

The length and breadth of a cuboid -shaped piece of wood are 2.3 metres and 0.75 metres respectively. If the volume of the wooden piece be 1.104 cubic-metres, then how may piece of wood of size 2.3m xx 0.75 m xx0.04m can be cut off from this piece of wood ?

CHHAYA PUBLICATION-MAXIMA AND MINIMA -EXERCISE Long Answer Type Questions
  1. The length of the hypotenuse of a right angled triangle is a Find the ...

    Text Solution

    |

  2. The length of the hypotenuse of a right angled triangle is a Find the ...

    Text Solution

    |

  3. A box with square top and bottom is to be made to contain 250 cm^(3) M...

    Text Solution

    |

  4. A firm produces x units of output per week at a total cost of Rs. ((1)...

    Text Solution

    |

  5. A radio manufacturer produces x sets per week at a total cost of Rs. (...

    Text Solution

    |

  6. Prove that the triangle of maximum area that can be incsribed in a giv...

    Text Solution

    |

  7. A figure consists of a semi - circle with a rectangle on its diameter...

    Text Solution

    |

  8. Show that the height of the cylinder of maximum volume that can be in...

    Text Solution

    |

  9. An open box with a square base is to be made out of a given quantity o...

    Text Solution

    |

  10. A wire of length 28 m is to be cut into two pieces . One of the pieces...

    Text Solution

    |

  11. A closed right circular cylinder has volume 2156cm^(3) . What will be...

    Text Solution

    |

  12. Show that the height of the cone of maximum volume that can be inscrib...

    Text Solution

    |

  13. Show that the surface area of a closed cuboid with square base and giv...

    Text Solution

    |

  14. Manufacturer can sell x items at a price of Rs. (5-(x)/(100)) each . T...

    Text Solution

    |

  15. Show that the maximum volume of the cylinder which can be inscribed in...

    Text Solution

    |

  16. An open box is to be made out of a piece of cardboard measuring (24cmx...

    Text Solution

    |

  17. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  18. The three sides of a trapezium are each of length 8 cm . Find the maxi...

    Text Solution

    |

  19. A straight line passing through the point (a,b) [where agt0and bgt0] ...

    Text Solution

    |

  20. Find the coordinates of the point on the curve y=(x)/(1+x^(2)) where ...

    Text Solution

    |