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Three numbers are in the ratio 1:2:3 and...

Three numbers are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the numbers.

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NCERT EXEMPLAR-SQUARE - SQUARE ROOT AND CUBE-CUBE ROOT-Exercise
  1. Find the area of a square field if its perimeter is 96m.

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  2. Find the length of each side of a cube if its volume is 512 cm^3.

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  3. Three numbers are in the ratio 1:2:3 and the sum of their cubes is 450...

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  4. How many square metres of carpet will be required for a square room of...

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  5. Find the side of a square whose area is equal to the area of a rectang...

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  6. Difference of two perfect cubes is 189. If the cube root of the smalle...

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  7. Find the number of plants in each row if 1024 plants are arranged so t...

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  8. A hall has a capacity of 2704 seats. If the number of rows is equal to...

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  9. A General wishes to draw up his 7500 soldiers in the form of a square....

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  10. 8649 students were sitting in a lecture room in such a manner that the...

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  11. Rahul walks 12m north from his house and turns west to walk 35m to rea...

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  12. A 5.5m long ladder is leaned against a wall. The ladder reaches the wa...

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  13. A king wanted to reward his advisor, a wise man of the kingdom. So he ...

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  14. Find three numbers in the ratio 2:3:5, the sum of whose squares is 608...

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  15. Find the smallest square number divisible by each one of the number...

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  16. The area of a square field is 101 1/(400) square metres. Find the leng...

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  17. Find the square root of 324.

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  18. Three numbers are to one another 2 : 3 : 4 : The sum of their cubes is...

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  19. Evaluate : root3(27)+root3(0.008)+root3(0.064)

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  20. {(5 ^2+(12^2)^(1/2))}^3

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