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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 354 · 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 ∛216? =
  2. 2.Which of these is a perfect cube? (a) 349 (b) 343 (c) 366
  3. 3.What is 4³? =
  4. 4.What is ∛3375? =
  5. 5.What is 15³? =
  6. 6.What is ∛12167? =
  7. 7.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is 20³? =
  9. 9.What is ∛729? =
  10. 10.Which of these is a perfect cube? (a) 729 (b) 796 (c) 738
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is ∛10648? =
  13. 13.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.What is 10³? =
  17. 17.Which of these is a perfect cube? (a) 125 (b) 163 (c) 184
  18. 18.Which of these is a perfect cube? (a) 2278 (b) 2197 (c) 2532
  19. 19.What is ∛6859? =
  20. 20.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  21. 21.What is ∛8? =
  22. 22.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 1331 (b) 1629 (c) 1418
  25. 25.Which of these is a perfect cube? (a) 1068 (b) 1049 (c) 1000
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  30. 30.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  31. 31.What is 3³? =
  32. 32.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  33. 33.What is 12³? =
  34. 34.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛13824? =
  36. 36.What is ∛512? =
  37. 37.What is 19³? =
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect cube? (a) 39 (b) 27 (c) 47

Answer key

  1. 6
  2. 343
  3. 64
  4. 15
  5. 3375
  6. 23
  7. 216
  8. 8000
  9. 9
  10. 729
  11. 27
  12. 22
  13. 4
  14. 2
  15. 15
  16. 1000
  17. 125
  18. 2197
  19. 19
  20. 2
  21. 2
  22. 64
  23. 11
  24. 1331
  25. 1000
  26. 27
  27. 8
  28. 64
  29. 9
  30. 49
  31. 27
  32. 19
  33. 1728
  34. 9
  35. 24
  36. 8
  37. 6859
  38. 125
  39. 14
  40. 27

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