Home
Class 10
MATHS
If the total surface area of a cube is...

If the total surface area of a cube is 864 square cm, find the volume of the cube:

A

`3456 cm^(3)`

B

`432 cm^(3)`

C

`1728 cm^(3)`

D

`3456 cm^(3)`

Text Solution

Verified by Experts

The correct Answer is:
C
`6a^2=864 rArr a^2=144 rArr a= 12 cm `
`therefore " volume " =(12 xx 12 xx 12 )cm ^3 = 1728 cm^3`
Promotional Banner

Topper's Solved these Questions

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise MULTIPLE-CHOICE QUESTIONS(MCQ)|14 Videos

  • VOLUME AND SURFACE AREAS OF SOLIDS

    RS AGGARWAL|Exercise Exercise 17D|40 Videos

  • TRIGONOMETRIC RATIOS OF COMPLEMENTARY ANGLES

    RS AGGARWAL|Exercise Exercise 12|15 Videos

Similar Questions

Explore conceptually related problems

The surface area of a cube is 726 sq cm. Find the volume of the cube.

The surface area of a cube is 1350 sq cm. Find the volume of the cube.

The total surface area of a cube is 864 cm^(2) . Find the volume?

If the total surface area of a cube is 6 sq units, then what is the volume of the cube?

The surface area of a cube is 486 sq cm. Find its volume.

The total surface area of a cube is 216 cm^(2) . Find the volume

The total surface area of a cube is 150 square cm. What is its volume ?

The total surface area of a cube is 294 cm^(2) , find its volume.

The surface area of a cube is 864 cm^(2) . Find its volume

RS AGGARWAL-VOLUME AND SURFACE AREAS OF SOLIDS-Multiple Choice Questions (Mcq)
  1. The length of the diagonal of a cube is 6sqrt3 cm . Its total surface ...

    Text Solution

    |

  2. The volume of a cube is 2744 cm^(3) . Its surface area is

    Text Solution

    |

  3. If the total surface area of a cube is 864 square cm, find the volum...

    Text Solution

    |

  4. How many bricks will be required to construct a wall 13.5 m long, 6 m ...

    Text Solution

    |

  5. The area of the base of a rectangular tank is 6500 cm^2 and the volume...

    Text Solution

    |

  6. The volume of a wall, 5 times as high as it is broad and 8 times as...

    Text Solution

    |

  7. If the areas of three adjacent faces of a cuboid are x ,\ y ,\ z re...

    Text Solution

    |

  8. The sum of length , breadht and hight of a cuboid is 19 cm and its dia...

    Text Solution

    |

  9. Each edge of a cube is increased by 50%. Find the percentage increa...

    Text Solution

    |

  10. How many bags of grain can be stored in a cuboidal granary (8mxx6mxx3...

    Text Solution

    |

  11. A cube of side 6 cm is cut into a number of cubes each of sides 2 cm ...

    Text Solution

    |

  12. In a shower , 5 cm of rain falls . The volume of the water that falls ...

    Text Solution

    |

  13. Two cubes have their volumes in the ratio 1 : 27 . The ratio of their ...

    Text Solution

    |

  14. Two diameter of the base of a cylinder is 4 cm and its height is 20 cm...

    Text Solution

    |

  15. The diameter of a cylinder is 28 cm and its height is 20 cm . The tota...

    Text Solution

    |

  16. The height of a cylinder is 14 cm and its curved surface area is 264 c...

    Text Solution

    |

  17. If the curved surface area of a cylinder is 1760 cm^(2) and its base r...

    Text Solution

    |

  18. The ratio of the total surface area to the lateral surface area of a c...

    Text Solution

    |

  19. The curved surface area of a cylindrical pillar is 264 m^2 and its vol...

    Text Solution

    |

  20. The ratio between the radius of the base and the height of the cylinde...

    Text Solution

    |