Home
Class 12
MATHS
An open box is to be made of a square sh...

An open box is to be made of a square sheet of tin with side 20 cm, by cutting off small squares from each comer and folding the flaps. Find the side of small square, which is to be cut off, so that volume of box is maximum.

Promotional Banner

Topper's Solved these Questions

  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C (MCQ)|20 Videos
  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos
  • PUNJAB BOARD - MATHEMATICS 2019

    OMEGA PUBLICATION|Exercise SERIES-C|58 Videos
  • PROBABILITY

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|38 Videos
  • PUNJAB BOARD-MATHEMATICS 2018

    OMEGA PUBLICATION|Exercise SERIES -C|19 Videos

Similar Questions

Explore conceptually related problems

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 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 ?

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 rectangular sheet of tin 45 cm x 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 the maximum possible.

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 ?

OMEGA PUBLICATION-PUNJAB BOARD - MATHEMATICS 2019-SERIES-B
  1. Verify Rolle's theorem for the function : y = x^3 - 2x^2 - 3x in the i...

    Text Solution

    |

  2. Find the equation of tangent to the curve y=3x^2-2x + 5 which is paral...

    Text Solution

    |

  3. Find the area of smaller region founded by the ellipse (x^(2))/9+(y^(2...

    Text Solution

    |

  4. Evaluate inte^(3x)"cos"5xdx

    Text Solution

    |

  5. Evaluate underset(0)overset(2)int(x^(2)+3)dx as limit of a sum.

    Text Solution

    |

  6. Find the particular solution of differential equations : [x sin^2(y/x)...

    Text Solution

    |

  7. If f (x) = (3 -x^3)1/3, then find fof(x). Also, find f^-1.

    Text Solution

    |

  8. Check whether relation R = {(x, y): x le y^2, x, y in R}, defined on s...

    Text Solution

    |

  9. For any two vectors vecaandvecb, prove that |veca+vecb|le|veca|+|vecb|...

    Text Solution

    |

  10. Bag I contains 5 red and 3 black balls and bag 11 contains 6 red and 5...

    Text Solution

    |

  11. Prove that : sin^-1 (3/5) + cos^-1 (5/sqrt26) =tan^-1 (19/17)

    Text Solution

    |

  12. If area of /\ABC is 12 square units and vertices are A (x, 2), B (4, -...

    Text Solution

    |

  13. An open box is to be made of a square sheet of tin with side 20 cm, by...

    Text Solution

    |

  14. Find the height of right circular cylinder of maximum volume that can ...

    Text Solution

    |

  15. Find the image of point (3,-1,2) in line (x+1)/(3)=(y-3)/(4)=(z+2)/(5)

    Text Solution

    |

  16. Find the shortest distance between the lies : vec(r(1))=hati+2hatj-3...

    Text Solution

    |

  17. Maximise z = 22x+44y subject to the constraints x+y ge 3 , 3x + 8y l...

    Text Solution

    |

  18. Maximise and Minimise z = 3x + 2y - 3 subject to the constraints: ...

    Text Solution

    |

  19. Solve the following system of linear equations by matrix method : 4x +...

    Text Solution

    |

  20. Using elementary transformations, find the inverse of matrix {:[(4,3...

    Text Solution

    |