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If the heights of 3 persons are 144 cm, ...

If the heights of 3 persons are 144 cm, 153 cm and 155 cm respectively, then mean height is

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1 gross = 12 dozen = 144 match - box.
The length of one gross of match - box = 2.8 dcm = 28 cm .
breadth = 1.5 dcm = 15 cm and height =0.9 cm = 9 cm .
`therefore ` volume of jone gross match -box `=28 xx 15 xx 9 cu-cm = 37580 " cc" `
`therefore` volume of one match - box be `= 3780/144 "cc "` =26.25 cm.
Length· of each match box = 5 cm, breadth = 3·5 cm.
Let the height of each match-box be x cm.
So, the volume of each match-box =` 5 xx 3.5 xx x " cc" = 17.5 x " cc "`
`therefore` volume of 144 match boxes `=17.5 x xx 144 " cc" `
`17.5x 144 = 3780 ` or . `x=(3780)/(17.5 xx 144)=1.5 `
Hence the volume of one match-box is 26-25 cc and the height of each match-box is 1 ·5 cm.
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CALCUTTA BOOK HOUSE-RECTANGULAR PARALLELOPIPED OR CUBOID-EXERCISE-(MCQs)
  1. If the heights of 3 persons are 144 cm, 153 cm and 155 cm respectively...

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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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