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If `V` is the volume of a cuboid of dimensions `a ,\ b ,\ c\ a n d\ S` is its surface area, then prove that `1/V=2/S(1/a+1/b+1/c)`

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NAGEEN PRAKASHAN-SURFACE AREA AND VOLUME-Exercise 13a
  1. The length, breadth and height of a room are 7.5 m, 4.5 m and 3.0 m re...

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  2. The cost of papering the walls of a room 12 m long at the rate of Rs....

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  3. Find the volume of wood required for a closed wooden box with external...

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  4. Three cubes whose edges are 6 cm, 8 cm and x cm, respectively are mel...

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  5. Three cubes of metal whose edges are in the ratio 3:4:5 are melted ...

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  6. How many cubes of edge 3 cm can be formed from a wooden piece of dimen...

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  7. Find the number of bricks required to construct a wall of dimensions 3...

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  8. The external dimension of an open box are 40 cm xx 30 cm xx 35 cm. All...

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  9. The sum of length, breadth and heigth of a cuboid is 30 cm and the len...

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  10. A wall of dimensions 24 m xx 5 m xx 0.25 m is to be constructed using ...

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  11. 50 student sit in a classroom. Each student requires 9 m^(2) area on f...

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  12. A rectangular cardboard sheet has length 32 cm and breadth 26 cm. The ...

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  13. In a shower, 5 cm of rain falls. Find the volume of water that falls o...

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  14. A feild is 70 m long and 40 m broad. In one corner of the field, a pit...

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  15. If V is the volume of a cuboid of dimensions a ,\ b ,\ c\ a n d\ S ...

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  16. The areas of three adjacent faces of a cuboid are x, y and z. If the v...

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  17. If each edge of a cube is increased by 25%, then the percentage inc...

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  18. Find the percentage increase in the surface area of a cube if each sid...

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  19. A metallic sheet is of the rectangular shape with dimensions 48 c m...

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  20. A tank measures 2 m in length, 1.6 m in width and 1 m in depth. Water ...

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