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Observe the following pattern : 1^3=1 1...

Observe the following pattern : `1^3=1` `1^3+2^3=(1+2)^2` `1^3+2^3+3^3=(1+2+3)^2` Write the next three rows and calculate the value of `1^3+2^3+3^3++9^3+10^3` by the above pattern.

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RD SHARMA ENGLISH-CUBES AND CUBE ROOTS-All Questions
  1. Find the cubes of the following numbers : (i) 100           (ii) 302...

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  2. Write the cubes of all natural numbers between 1 and 10 and verify ...

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  3. Observe the following pattern : 1^3=1 1^3+2^3=(1+2)^2 1^3+2^3+3^3=(1...

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  4. Write the cubes of 5 natural number which are multiples of 3 and ve...

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  5. Write the cubes of 5 natural number which are of form 3n+1(edotg. 4...

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  6. Write the cubes of 5 natural numbers of the form 3n+2(idote .5 ,8, ...

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  7. Write the cubes of 5 natural numbers of which are multiples of 7 an...

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  8. Which of the following are perfect cubes? (I)64            (ii) 216 ...

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  9. Which of the following are perfect cubes? (I)1000               (ii) 1...

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  10. Which of the following are perfect cubes ? (I)4608        (ii) 10648...

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  11. Which of the following are cubes of even natural numbers? 216, 512...

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  12. Which of the following are cubes of odd natural numbers? 125, 343,1...

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  13. What is the smallest number by which the following numbers must be m...

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  14. What is the smallest number by which the following numbers must be m...

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  15. By which smallest number must the following numbers be divided so th...

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  16. By which smallest numbers must the following numbers be divided so t...

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  17. Prove that if a number is tripled then its cube is 27 times the cube...

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  18. What happens to the cube of a number if the number multiplied by (I...

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  19. Find the volume of a cube, one face of which has an area of 64 m^2d...

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  20. Find the volume of cube whose surface area is 384 m^2dot

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