Home
Class 12
MATHS
A square ·piece of tin of side 12 cm is ...

A square ·piece of tin of side 12 cm is to be made into a box without a top by cutting a square from each corner and folding up the flaps to form a box. What should be the side of square to be cut off'. so that the volume of box is maximum and also find the volume of box.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 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 a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum and also find the volume of box ?

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum also find the volume ?

A square piece of tin of side 24 cm is to be made into a box without top by cutting a square from each comer and folding up the flaps to form a box. What should be the side of square to be cut off so that the volume of box is maximum also find the volume ?

A square sheet of tin of side 36 cm is to be made into a box without top by cutting off squares from each comer 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 ?

A square sheet of tin of size 24 cm is to be made into a box without top by cutting off squares from each comer 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 ?

A square sheet of tin whose side is 18 cm to be made into a box without top by cutting off squares from each comer 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 ?

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find two positive numbers x and y such that x+y = 60 and xy^3 is maxim...

    Text Solution

    |

  2. Find two positive numbers whose sum is 15 and the sum of whose squares...

    Text Solution

    |

  3. A square ·piece of tin of side 12 cm is to be made into a box without ...

    Text Solution

    |

  4. A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...

    Text Solution

    |

  5. Show that of all rectangles inscribed in a given circle the square has...

    Text Solution

    |

  6. Show that the rectangle of maximm area that can be inscribed in a circ...

    Text Solution

    |

  7. Show that the right circular cylinder of given surface and maximum vol...

    Text Solution

    |

  8. If all the closed cylindrical cans (right circular), which enclose a g...

    Text Solution

    |

  9. A wire of length 28 m is to be cut into two pieces, one of the pieces ...

    Text Solution

    |

  10. Prove that volume of largest cone, which can be inscribed in a sphere,...

    Text Solution

    |

  11. Show that the right circular cone of least curved surface and given vo...

    Text Solution

    |

  12. Show that the semi-vertical angle of the cone of the maximum volume an...

    Text Solution

    |

  13. Show that semi-vertical angle of right circular cone of given surface ...

    Text Solution

    |

  14. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  15. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |

  16. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

  17. Using differentials, find an approximate value of each of the followin...

    Text Solution

    |

  18. Using differentials, find an approximate value of each of the followin...

    Text Solution

    |

  19. Show that the function given by f(x) = (logx)/x has maximum at x=e

    Text Solution

    |

  20. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |