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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 655 · 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.Which of these is a perfect cube? (a) 1000 (b) 1036 (c) 1199
  2. 2.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  3. 3.What is 13³? =
  4. 4.What is ∛6859? =
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛1331? =
  7. 7.Which of these is a perfect cube? (a) 920 (b) 854 (c) 729
  8. 8.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  9. 9.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛27? =
  14. 14.What is 9³? =
  15. 15.What is 7³? =
  16. 16.What is ∛12167? =
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.What is 14³? =
  19. 19.What is 6³? =
  20. 20.What is ∛2197? =
  21. 21.What is ∛343? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 343 (b) 471 (c) 348
  24. 24.What is 10³? =
  25. 25.What is 2³? =
  26. 26.What is ∛8? =
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is 12³? =
  29. 29.Which of these is a perfect cube? (a) 1550 (b) 1331 (c) 1528
  30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  32. 32.What is 16³? =
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  36. 36.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 195 (b) 125 (c) 160
  38. 38.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  39. 39.What is 4³? =
  40. 40.What is 20³? =

Answer key

  1. 1000
  2. 3
  3. 2197
  4. 19
  5. 27
  6. 11
  7. 729
  8. 49
  9. 3
  10. 19
  11. 125
  12. 4
  13. 3
  14. 729
  15. 343
  16. 23
  17. 10
  18. 2744
  19. 216
  20. 13
  21. 7
  22. 8
  23. 343
  24. 1000
  25. 8
  26. 2
  27. 8
  28. 1728
  29. 1331
  30. 9
  31. 4
  32. 4096
  33. 11
  34. 8
  35. 5
  36. 3
  37. 125
  38. 7
  39. 64
  40. 8000

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