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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 482 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  2. 2.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is ∛2197? =
  4. 4.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛5832? =
  6. 6.What is ∛27? =
  7. 7.What is 12³? =
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is 13³? =
  11. 11.What is ∛3375? =
  12. 12.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 49 (b) 27 (c) 37
  14. 14.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 425 (b) 343 (c) 392
  18. 18.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  19. 19.What is 9³? =
  20. 20.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  21. 21.What is 11³? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 2337 (b) 2197 (c) 2236
  24. 24.What is 14³? =
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 1492 (b) 1331 (c) 1428
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  32. 32.What is ∛729? =
  33. 33.Which of these is a perfect cube? (a) 64 (b) 74 (c) 106
  34. 34.Which of these is a perfect cube? (a) 164 (b) 145 (c) 125
  35. 35.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛4096? =
  38. 38.What is ∛512? =
  39. 39.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  40. 40.What is ∛9261? =

Answer key

  1. 2
  2. 27
  3. 13
  4. 6
  5. 18
  6. 3
  7. 1728
  8. 64
  9. 216
  10. 2197
  11. 15
  12. 8
  13. 27
  14. 10
  15. 216
  16. 18
  17. 343
  18. 2
  19. 729
  20. 3
  21. 1331
  22. 15
  23. 2197
  24. 2744
  25. 64
  26. 2
  27. 25
  28. 1331
  29. 125
  30. 27
  31. 3
  32. 9
  33. 64
  34. 125
  35. 3
  36. 3
  37. 16
  38. 8
  39. 2
  40. 21

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