Home
Class 14
MATHS
The volume of a right pyramid is 45sqrt3...

The volume of a right pyramid is `45sqrt3 cm^3` and its base is an equilateral triangle with side 6 cm. What is the height (in cm) of the pyramid? एक पिरामिड का आयतन `45sqrt3 सेमी^3` है और इसका आधार एक समबाहु त्रिभुज है, जिसकी भुजा 6 सेमी है। पिरामिड की ऊंचाई (सेमी में) क्या है?

A

20

B

15

C

12

D

18

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SSC CGL MAINS 2018 NUMBER SYSTEM

    PINNACLE|Exercise Exercise|28 Videos
  • SSC CHSL 2018 QUESTION PAPER

    PINNACLE|Exercise Exercise|600 Videos

Similar Questions

Explore conceptually related problems

The volume of a right pyramid is 45 sqrt 3 cm^3 and its base is an equilateral triangle with side 6 cm. What is the height (in cm) of the pyramid?

The volume of a right pyramid is 45 sqrt3 cm^3 and its base is an equilateral triangle with side 6 cm. What is the height (in cm) of the pyramid ? एक लम्ब पिरामिड का आयतन 45 sqrt3 घन सेमी है और इसका आधार एक समबाहु त्रिधुज है जिसकी भुजा 6 सेमी है | इस पिरामिड की ऊंचाई (सेमी में ) ज्ञात करें |

The base of a right pyramid is an equilateral triangle with side 8 cm, and the height of pyramid is 24 sqrt 3 cm. The volume (in cm^3 ) of the pyramid is : एक लम्ब पिरामिड का आधार एक समबाहु त्रिभुज है जिसकी भुजा 8 सेमी की है | पिरामिड की ऊंचाई 24 sqrt 3 सेमी है | इस पिरामिड का आयतन ( घन सेमी में ) ज्ञात करें |

The base of a right pyramid is an equilateral triangle with side 8 cm, and its height is 30 sqrt3 . The volume(in cm^3 ) of the pyramid is : पिरामिड का आधार 8 सेमी के साथ एक समबाह त्रिभुज है, और इसकी ऊंचाई 30 sqrt3 है। पिरामिड का आयतन ( cm^2 में) है:

The base of a right pyramid is an equilateral triangle with side 8 cm, and the height of the pyramid is 24 sqrt3 cm. The volume (in cm^3 ) of the pyramid is:

An equilateral triangle of side 12 cm is drawn. What is the area (in cm^2 ) of the largest square which can be drawn inside it? 12 सेमी. भुजा वाला एक समबाहु त्रिभुज बनाया गया। इसमें बनाए जा सकने वाले बडे वर्ग को क्षेत्रफल (सेमी. में) क्या है?

The base of a pyramid is an equilateral triangle of side is 10m. If the height of the pyramid is 40 sqrt3 m, then the volume of the pyramid is : एक पिरामिड का आधार 10 m भुजा वाला एक समबाह त्रिभुज है। यदि पिरामिड की ऊंचाई 40 sqrt3 मीटर है, तो पिरामिड का आयतन क्या है

A regular pyramid has a square base. The height of the pyramid is 22 cm and side of its base is 14 cm. Volume of pyramid is equal to the volume of a sphere. What is the radius (in cm) of the sphere? एक सम पिरामिड का आधार एक वर्ग है। पिरामिड को ऊँचाई 22 से.मी. है तथा उसके आधार की भुजा 14 से.मी. है। पिरामिड का आयतन एक गोले के आयतन के बराबर हैं गोले की त्रिज्या (से.मी. में) क्या है?

A right prism has height 18cm and its base is a triangle with sides 5cm, 8cm and 12cm. What is the lateral surface area (in cm^2 )? एक लम्ब प्रिज्म की ऊंचाई 18 सेमी है तथा इसका आधार एक त्रिभुज है जिसकी भुजाएं 5 सेमी, 8 सेमी और 12 सेमी की हैं | पार्श्च पृष्ठ क्षेत्रफल (वर्ग सेमी में ) ज्ञात करें |

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20sqrt 3 cm. What is the volume (in cm^3 ) of the prism? एक लम्बवत त्रिभुजाकार प्रिज्म का आधार समबाहु त्रिभुज है। त्रिभुज को भुजा 15 से.मी. है। प्रिज्म की ऊँचाई 20sqrt 3 से.मी. है। प्रिज्म का आयतन ( से.मी.^2 में) क्या है?

PINNACLE-SSC CGL MAINS ALL MENSURATION QUES 2018-Exercise
  1. The lateral surface area of a cylinder is 352 cm^2. If its height is 7...

    Text Solution

    |

  2. If the radius of a sphere is increased by 4 cm, its surface area is in...

    Text Solution

    |

  3. The volume of a right pyramid is 45sqrt3 cm^3 and its base is an equil...

    Text Solution

    |

  4. The internal and external radii of a hollow hemispherical vessel are 6...

    Text Solution

    |

  5. The base of right prism is a trapezium whose parallel sides are 11cm a...

    Text Solution

    |

  6. If a cuboid of dimensions 32cm x 12cm x 9cm is cut into two cubes of s...

    Text Solution

    |

  7. If the diameter of the base of a right circular cylinder is reduced by...

    Text Solution

    |

  8. A solid metallic sphere of radius 8 cm is melted and drawn into a wire...

    Text Solution

    |

  9. A field roller, in the shape of a cylinder, has a diameter of 1 m and ...

    Text Solution

    |

  10. The base of a right pyramid is an equilateral triangle with side 8 cm,...

    Text Solution

    |

  11. A right circular solid cone of radius 3.2 cm and height 7.2 cm is melt...

    Text Solution

    |

  12. A cylindrical vessel of radius 3.5 m is full of water. If 15400 litres...

    Text Solution

    |

  13. A hemispherical bowl of internal diameter 36 cm is full of a liquid. T...

    Text Solution

    |

  14. If the curved surface area of a solid cylinder is one-third of its tot...

    Text Solution

    |

  15. The area of the base of a right circular cone is 400 pi and its height...

    Text Solution

    |

  16. A solid cube is cut into three cuboids of same volumes. What is the ra...

    Text Solution

    |

  17. If the volume of a sphere is 4851 cm^3, then its surface area (in cm^2...

    Text Solution

    |

  18. The base of a right prism is a triangle with sides 20 cm, 21 cm and 29...

    Text Solution

    |

  19. The radius and the height of a right circular cone are in the ratio 5:...

    Text Solution

    |

  20. The base of a right pyramid is an equilateral triangle with area 16 sq...

    Text Solution

    |