Home
Class 10
MATHS
The three adjacent surfaces of cuboid ar...

The three adjacent surfaces of cuboid are x sq. unit, y sq. unit and z sq. unit. The length of its one of the diagonal is Option 1 `((xy)/z+(yz)/x+(zx)/y)^(1/2)` Option 2 `( (z x)/ y + (x y)/ z + (y z)/ x )^(1/2)` Option 3 `((x y)/ z + (y z)/ x + (z x)/ y )` Option 4 `( (z y)/ x + (y z)/ x + (x y)/ z )`

A

`((xy)/(z) + (yz)/(x) + (zx)/(y))1/2`

B

`((z)/(xy) + (x)/(yz) + (y)/(zx))1/2`

C

`((xy)/(z) + (yz)/(x) + (zx)/(y))`

D

`((z)/(yx) + (y)/(zx) + (x)/(yz))`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Real life problem related to different solid objects

    UNITED BOOK HOUSE|Exercise Exercise |28 Videos
  • Right Circular Cone

    UNITED BOOK HOUSE|Exercise Exercise |30 Videos

Similar Questions

Explore conceptually related problems

Eliminate x,y and z from the following equations: (x)/(y+z)=a,y/(z+x)=b,z/(x+y)=c

((x-y)^(3)+(y-z)^(3)+(z-x)^(3))/((x-y)(y-z)(z-x))=

If (x)/(y)+(y)/(z)+(z)/(x)=0, " then find "[((x)/(y))^(3)+((y)/(z))^(3)+((z)/(x))^(3)]

If x/y = y/z , then simplify (xyz ( x + y + z)^(3))/((xy+yz+zx)^(3)) .

If x > y > z >0, then find the value of cot^(-1)((x y+1)/(x-y))+cot^(-1)((y z+1)/(z y-z))+cot^(-1)((z x+1)/(z-x))

Three variable x,y,z such that y+z-x is a constant and if (z+x-y)(x+y-z) alpha yz, then show that (x+y+z) alpha yz .

If x,y,z, are real and distinct number, then the value of ((x-y)^3+(y-z)^3+(z-x)^2)/((x-y)(y-z)(z-y)) is

Prove that : (iii) (yz)^(log(y/z))(zx)^(log(z/x))(xy)^(log(x/y)) = 1

The triangle formed by joining the points (x,y,z), (y,z,x) and (z,x,y) in three dimensional space is-

If x, y, z are in continued proportion, then (1)/(y^2 -x^2) + (1)/(y^2 - z^2) =

UNITED BOOK HOUSE-Rectangular Parallelopiped Cuboid-Exercise
  1. If the volume of a cube is V cubic unit, then the total surface area o...

    Text Solution

    |

  2. The diagonal of each face of a cube is 2sqrt3 cm. the volume of the cu...

    Text Solution

    |

  3. The three adjacent surfaces of cuboid are x sq. unit, y sq. unit and z...

    Text Solution

    |

  4. The lateral surface area of a cube is 144sq.cm., then the volume of th...

    Text Solution

    |

  5. The dimension (S) of a rectangular parallelopiped is/are

    Text Solution

    |

  6. The number of planes of a rectangular parallelopiped are

    Text Solution

    |

  7. The number of planes of a rectangular parallelopiped are

    Text Solution

    |

  8. The number of planes of a rectangular parallelopiped are

    Text Solution

    |

  9. The length breadth and height of a cuboidal room be a unit, b unit, an...

    Text Solution

    |

  10. The numerical value of whose surface and volume of a cube are equal. T...

    Text Solution

    |

  11. Dimensions of two cuboids of equal volume are 4, 6, 4 units and 8, (2h...

    Text Solution

    |

  12. If the number of surface of a cuboid is x, the number of edges is y, t...

    Text Solution

    |

  13. The area of whole surface of a cube being S square units and length of...

    Text Solution

    |

  14. If any edge of a cube is increased 50%, Measure of increment of its vo...

    Text Solution

    |

  15. Three solid cubes of edges 3 units, 4 units and 5 units are melted to ...

    Text Solution

    |

  16. The length, breadth and height of a cuboid are in the ratio 1 : 2 : 3....

    Text Solution

    |

  17. The volume (in m^3) of rain water that can be collected from 1.5 hecta...

    Text Solution

    |

  18. A tank 40 m long, 30 m broad and 12 m deep is dug in a field 1000 m lo...

    Text Solution

    |

  19. A rectangular block of metal has dimensions 21 cm, 77 cm and 24 cm. Th...

    Text Solution

    |

  20. A cistern 6 m long and 4 m wide, contains water up to a depth of 1m 25...

    Text Solution

    |