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Which of the following are perfect cubes...

Which of the following are perfect cubes? (I)64            (ii) 216                    (iii) 243

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To determine which of the given numbers are perfect cubes, we will factor each number into its prime factors and check if all prime factors can be grouped into triplets. ### Step-by-Step Solution: **Step 1: Check if 64 is a perfect cube.** - Start by finding the prime factors of 64. - Divide 64 by 2: - \( 64 \div 2 = 32 \) ...
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RD SHARMA-CUBES AND CUBE ROOTS-All Questions
  1. Write the cubes of 5 natural numbers of the form 3n+2(idote .5 ,8, 1...

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

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

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

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

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

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  7. Which of the following are cubes of odd natural numbers? 125, 343,17...

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

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

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

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

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  12. Prove that if a number is trebled then its cube is 27 times the cube...

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

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

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

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  16. Evaluate the following : (I){(5^2+12^2)^(1/2)}^3 (ii) {(6^2+8^2)^(1...

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  17. Write the unit digit of the cube of each of the following numbers: ...

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  18. Find the cubes of the following numbers by column method: 35      ...

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  19. Which of the following numbers are not perfect cubes ? (I)64         ...

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  20. For each of the non-perfect cubes in previous question find the smal...

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