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The length breadth and height of a cuboi...

The length breadth and height of a cuboidal room be a unit, b unit, and c unit respectively and a + b + c = 25, ab + bc +ca = 240.5 then find the length of the longest rod to be ket inside the room.

A

`sqrt1066 units`

B

144 units

C

12 units

D

cannot be determined

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

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

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

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

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

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  6. The number of planes of a rectangular parallelopiped are

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  7. The number of planes of a rectangular parallelopiped are

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  8. The number of planes of a rectangular parallelopiped are

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

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

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

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

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

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

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

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

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

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

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

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

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