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

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.

Text Solution

Verified by Experts

The correct Answer is:
5 cm
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Important Questions from (Miscellaneous Exercise )|48 Videos
  • APPLICATION OF DERIVATIVES

    OMEGA PUBLICATION|Exercise Multiple Choice Questions (MCQs)|34 Videos
  • APPLICATION OF INTEGRALS

    OMEGA PUBLICATION|Exercise Multiple Choice Questions|16 Videos

Similar Questions

Explore conceptually related problems

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 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 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 ·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.

OMEGA PUBLICATION-APPLICATION OF DERIVATIVES -Multiple Choice Questions (MCQs)
  1. A rectangular sheet of tin 45 cm x 24 cm is to be made into a box with...

    Text Solution

    |

  2. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  3. Find the rate of change of the area of a circle per second with respec...

    Text Solution

    |

  4. Find the rate of change of the area of the circle with respect to its ...

    Text Solution

    |

  5. The total revenue in Rupees received from its sale of x units of a pro...

    Text Solution

    |

  6. An edge of a variable cube is increasing at the rate of 3 cm second. H...

    Text Solution

    |

  7. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  8. Find the slope of the tangent to the curve y = 3x^4 - 4x at x = 4 .

    Text Solution

    |

  9. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

    Text Solution

    |

  10. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

    Text Solution

    |

  11. The slope of the tangent to the curve x = t^2+3t-8, y = 2t^2-2t-5at th...

    Text Solution

    |

  12. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  13. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  14. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

    Text Solution

    |

  15. The approximate change in the volume of a cube of side x metres caused...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  20. Find the rate of change of the area of a circle with respect to its ra...

    Text Solution

    |

  21. Find the rate of change of the area of the circle with respect to its ...

    Text Solution

    |