Home
Class 12
MATHS
A cuboid with a square base and given vo...

A cuboid with a square base and given volume `V` is shown in figure:
Show that the surface area is minimum when it is a cube .

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos
  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

A cuboid with a square base and given volume v is shown in figure: Express surface area 'S' as a function of x.

A square pyramid is made from a solid cube having edge 30cm. Calculate the surface area.

An open box with a square base is to be made out of a given quantity of sheet of area a^2 . Show that the maximum volume is (a^3)/(6sqrt3) .

A right circular cylinder is inscribed in a given cone of radius R cm and height H cm as shown in the figure. Find the Surface area S of the circular cylinder as a function of x.

Calculate the volume of a sphere of surface area 144pi square centimeter.

The height of a square pyramid is 15cm, volume 1620cm. Calculate the total surface area.

Land is acquired for road widening from a square ground, as shown in the figure. The width of the acquired land is 2 metres. Area of the remaining ground is 440 square metres.What is the shape of the remaining ground? .

Of all the cylinders with given surface area, show that the volume is maximum when height is equal to the diameter of the base .

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Write the function whose graph is shown below. Discuss the different...

    Text Solution

    |

  2. A cuboid with a square base and given volume v is shown in figure: E...

    Text Solution

    |

  3. A cuboid with a square base and given volume V is shown in figure: S...

    Text Solution

    |

  4. If 2x+4=A(2x+3)+B , find A and B

    Text Solution

    |

  5. If 2x+4=A(2x+3)+B , find A and B and evalute int(2x+4)/(x^2+3x+1)dx

    Text Solution

    |

  6. Consider the Differential equation cos^2xdy/dx+y=tanx . Find its d...

    Text Solution

    |

  7. Consider the Differential equation cos^2xdy/dx+y=tanx . Find the integ...

    Text Solution

    |

  8. Consider the Differential equation cos^2xdy/dx+y=tanx . Find the gene...

    Text Solution

    |

  9. The position vectors of three points A,B,C are given to be i+3j+3k , 4...

    Text Solution

    |

  10. The position vectors of three points A,B,C are given to be i+3j+3k , 4...

    Text Solution

    |

  11. The position vectors of three points A,B,C are given to be i+3j+3k , 4...

    Text Solution

    |

  12. If bara,barb,barc are coplaner vectors , write the vector perpendicula...

    Text Solution

    |

  13. If bara,barb,barc are coplaner, prove that [bara+barb, barb+barc,ba...

    Text Solution

    |

  14. Write all the direction cosines of x-axis.

    Text Solution

    |

  15. If a line makes alpha,beta,gamma with x,y,z axis respectively, then pr...

    Text Solution

    |

  16. A line makes equal angles with the coordinate axis . Find the directio...

    Text Solution

    |

  17. If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 ...

    Text Solution

    |

  18. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Find A^-1

    Text Solution

    |

  19. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equat...

    Text Solution

    |

  20. Find dy/dx of the following sin^2x+cos^2y=1

    Text Solution

    |