Home
Class 11
MATHS
A box is made with square base and ope...

A box is made with square base and open top .The area of the material used is 192 sq . Cms If the volume of the box is maximum , the dimensions of the box are

A

4,4,8

B

2,2,4

C

8,8,4

D

2,2,2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS|6 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -II) (LEVEL -II) (MATRIX MATCHING TYPE QUESTIONS)|2 Videos
  • MAXIMA AND MINIMA

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -I) (LEVEL -II) (INTERGER TYPE QUESTIONS)|3 Videos
  • MAXIMA & MINIMA

    AAKASH SERIES|Exercise EXERCISE-III|35 Videos
  • MEAN VALUE THEOREMS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I (LEVEL-II (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS ) )|2 Videos

Similar Questions

Explore conceptually related problems

A box is made from a piece of metal sheet 24 cms square by cutting equal small squares from each corner and traning up the edges If the volume of the box is maximum then then the dimensions of the box are

A box of maximum volume with open top is to be made out of a square tin sheet of side 6ft in length by cutting out small equal squares from the four corners of the sheet then height of the box is

A closed box is made up of wood which is 1cm thick .The outer dimensions of the box is 5 cm 4 cm 7 cm. Find the volume of the wood used

A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm by cutting equal squares of sides x from the corners of the sheet and the turning up the projected portions . The value of x so that volume of the box is maximum is

A cylindrical box of radius 7m, height of 5 m is to be made. Determine the area of the sheet required for making the closed box and also find the cost of the sheet required, if it costs Rs. 30 per 1 m^2 .

An open recangular tank with a square base and 32 c.c of capacity has least surface aren in sq. cms is

A toy is made in the form of hemisphere surmounted by a right cone whose circular base is joined with the plane surface of the hemisphere. The radius of the base of the cone is 7 cm. and its volume is 3/2 of the hemisphere. Calculate the height of the cone and the surface area of the toy correct to 2 places of decimal. ("Take "pi=3""1/7)

AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -II) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The height of the cone of maximum volume inscribed in a sphere of radi...

    Text Solution

    |

  2. A box of maximum volume with open top is to be made out of a square ti...

    Text Solution

    |

  3. A box is made with square base and open top .The area of the materia...

    Text Solution

    |

  4. A soft dringk manufacturer wants to fabrucate cylindrical cans for its...

    Text Solution

    |

  5. A cone is made from a circular sheet of radius sqrt(3) by cutting out ...

    Text Solution

    |

  6. The lateral edge of a regular hexagonal pyramid is '1' cm. If the volu...

    Text Solution

    |

  7. The volume of the greatest cylinder which can be inscribed in a cone o...

    Text Solution

    |

  8. A rectangle of the greatest area is inscribed in a trapezium ABCD , on...

    Text Solution

    |

  9. The three sides of a trapezium are equal , each being 8 cm . The area...

    Text Solution

    |

  10. A wire of length 'a' is cut into two parts which are bent in the form ...

    Text Solution

    |

  11. A box , constructed from a rectangular metal sheet , is 21 cm by 16 cm...

    Text Solution

    |

  12. Find the area of equitateral triangle formed by (a,1), (1,b), (0,0) wh...

    Text Solution

    |

  13. If all the rectangles of a given perimeter 2P , the one having the sm...

    Text Solution

    |

  14. The maximum hight of the curve y=6cosx-8sinx above the x-axis

    Text Solution

    |

  15. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

  16. The longest distance of the point (a,0) from the curve 2x^2+y^2=2x is

    Text Solution

    |

  17. The point on the curve y=x^2 which is nearest to (3,0) is

    Text Solution

    |

  18. The points on the hyperbola x^(2)-y^(2)=2 closest the point (0,1) are

    Text Solution

    |

  19. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

    Text Solution

    |

  20. The sides of the rectangle of greatest area that can be inscribed in t...

    Text Solution

    |