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If total suface area of a cube is s uni...

If total suface area of a cube is s unit and the leght of its diagonal is d unit, then the raltion between s and d is

A

`s= 6d^2`

B

`3s = 7d `

C

`S^3 =d^2`

D

`d^2 = s/2 `

Text Solution

Verified by Experts

If the leght of equal sides of the cube be a units then ` s= 6a^2 " and " d = sqrt(3a)`
`rArr a = d/sqrt(3) rArr a^2 = d^2/3 `
`therefore s=6 xx d^2/3 rArr s =2d^2 = s/2 `
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CALCUTTA BOOK HOUSE-RECTANGULAR PARALLELOPIPED OR CUBOID-EXERCISE-(MCQs)
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  2. If the length of the diagonal of a cube be 4sqrt6cm, then the length o...

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  3. The area of a surface of a cube is 16 sq-metres. If the weight of the ...

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  4. If the length and breadth of a rectangular parallelopiped be 16 m and ...

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  5. Length of a side of a cube is 3cm,find its volume and total surface.

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  6. To make a cube of side 1 metre each, how many cubes of side 10 cm each...

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  7. The lengths of the diagonals of each surface of a rectangular parallel...

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  8. Among the length, breadth and height of a rectangular parallelopiped, ...

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  9. The number of edges of a rectangular parallelopiped is .

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  10. The lengths of the diagonals of the roof and that of the floor of a cu...

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  11. The lateral surfaces of a cuboid are to each other.

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  12. If the surface areas of three consecutive surface of a cuboid be x, y,...

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  13. If three edges of a cuboid be a, b, c units volume be v cubic units an...

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  14. The ratio of the areas of three consecutive surface of a cuboid 2 : 3 ...

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  15. If the length of the side of a cube be doubled, then how many percenta...

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  16. If the ratio of the total surface areas of two cubes be 16 : 25, then ...

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  17. By melting a metal cube of side 5 cm each, some cubes of sides 1 cm ea...

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  18. If the length of the sides of a cube of volume v be doubled, then the ...

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  19. The length and breadth of a hall-room are 15 metres and 12 metres resp...

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  20. If the total surface area of a cube be equal to the sum of the surface...

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  21. If the length of the diagonals of each surface of a cube be asqrt2 uni...

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