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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 330 · 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 ∛5832? =
  2. 2.What is ∛729? =
  3. 3.Which of these is a perfect cube? (a) 73 (b) 64 (c) 108
  4. 4.What is ∛6859? =
  5. 5.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is 4³? =
  7. 7.Which of these is a perfect cube? (a) 343 (b) 364 (c) 346
  8. 8.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is 16³? =
  12. 12.What is ∛13824? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛1000? =
  15. 15.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  16. 16.What is 15³? =
  17. 17.What is ∛4913? =
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛3375? =
  20. 20.What is ∛512? =
  21. 21.What is 9³? =
  22. 22.What is 14³? =
  23. 23.What is ∛9261? =
  24. 24.What is ∛1331? =
  25. 25.Which of these is a perfect cube? (a) 4008 (b) 3953 (c) 3375
  26. 26.What is 6³? =
  27. 27.What is ∛64? =
  28. 28.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  29. 29.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  30. 30.What is ∛2197? =
  31. 31.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 512 (b) 620 (c) 526
  33. 33.Which of these is a perfect cube? (a) 219 (b) 236 (c) 216
  34. 34.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1551 (b) 1658 (c) 1331
  37. 37.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  38. 38.What is 8³? =
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?

Answer key

  1. 18
  2. 9
  3. 64
  4. 19
  5. 27
  6. 64
  7. 343
  8. 15
  9. 216
  10. 10
  11. 4096
  12. 24
  13. 8
  14. 10
  15. 4
  16. 3375
  17. 17
  18. 216
  19. 15
  20. 8
  21. 729
  22. 2744
  23. 21
  24. 11
  25. 3375
  26. 216
  27. 4
  28. 3
  29. 25
  30. 13
  31. 19
  32. 512
  33. 216
  34. 27
  35. 25
  36. 1331
  37. 5
  38. 512
  39. 8
  40. 13

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