Home
Class 14
MATHS
There is a pyramid on a base which is a ...

There is a pyramid on a base which is a regular hexagon of side 2a. If every slant edge of this pyramid is of length `((5a))/(2)` then the volume of this pyramid must be :

A

`3a^(3) cm^(3)`

B

`3sqrt(2) a^(3) cm^(3)`

C

`3sqrt(3)a^(3) cm^(3)`

D

`6a^(3) cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE VI|47 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE VII|60 Videos

  • MENSURATION

    KIRAN PUBLICATION|Exercise TYPE - IV|169 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

  • MISCELLANEOUS

    KIRAN PUBLICATION|Exercise TYPE-VI|15 Videos

Similar Questions

Explore conceptually related problems

Which is true for a hexagonal pyramid ?

Which is true for a hexagonal pyramid?

The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is

The base of a right pyramid is an equilateral triangle of perimeter 8 dm and the height of the pyramid is 30sqrt(3) cm. Find the volume of the pyramid.

Draw the net of a square pyramid with base as square of side 4 cm and slant edges 6 cm.

The base of a pyramid is an n-sided regular polygon of area 360 cm^(2) . The total surface area of the pyramid is 900 cm^(2) . Each lateral face of the pyramid has an area of 30 cm^(2) . Find n.

The base of a right pyramid is an equilateral triangle of side 4cm .The height of the pyramid is half of its slant height. The volume of the pyramid is: A) (8sqrt(3))/(9)cm^(3) B) (4sqrt(3))/(9)cm^(3) C) (16)/(3)cm^(3) D) (18)/(sqrt(3))cm^(3)

KIRAN PUBLICATION-MENSURATION-TYPE - V
  1. The total surface area of a sphere is 8pi square unit. The volume of t...

    Text Solution

    |

  2. The radius of a sphere is 6 cm. It is melted and drawn into a wire of ...

    Text Solution

    |

  3. There is a pyramid on a base which is a regular hexagon of side 2a. If...

    Text Solution

    |

  4. The base of a right pyramid is a square of side 40 cm long. If the vol...

    Text Solution

    |

  5. The base of a right prism is a trapezium. The length of the parallel s...

    Text Solution

    |

  6. The height of a right prism with a square base is 15 cm. If the area o...

    Text Solution

    |

  7. The base of a right prism an equilateral triangle of side 8cm and heig...

    Text Solution

    |

  8. The base of right prism is a triangle whose perimeter is 28 cm and the...

    Text Solution

    |

  9. If the base of a right pyramid is triangle of sides 5 cm, 12 cm, 13 cm...

    Text Solution

    |

  10. The diameter of the Moon is approximately one-fourth of the diameter o...

    Text Solution

    |

  11. A conical vessel whose internal radius is 12 cm and height 50 cm is fu...

    Text Solution

    |

  12. The volume of a right circular cylinder is equal to the volume of that...

    Text Solution

    |

  13. If the area of a circle and a square are equal, then the ratio of thei...

    Text Solution

    |

  14. A rectangular piece of paper of dimensions 22 cm by 12 cm is rolled al...

    Text Solution

    |

  15. The ratio of the volume of a cube to that of a sphere which will fit i...

    Text Solution

    |

  16. The volumes of a sphere and a right circular cylinder having the same ...

    Text Solution

    |

  17. The size of a rectangular piece of paper is 100 cm xx 4 cm. A cylinder...

    Text Solution

    |

  18. A cone, a hemisphere and a cylinder stand on equal bases and have the ...

    Text Solution

    |

  19. The radius of a wire is decreased to one-third. If volume remains the ...

    Text Solution

    |

  20. Water flows into a tank which is 200 m long and 15 m wide, through a p...

    Text Solution

    |