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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 338 · 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 15³? =
  2. 2.What is 4³? =
  3. 3.What is 11³? =
  4. 4.Which of these is a perfect cube? (a) 750 (b) 729 (c) 960
  5. 5.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 3468 (b) 3375 (c) 3874
  8. 8.Which of these is a perfect cube? (a) 125 (b) 148 (c) 167
  9. 9.What is 5³? =
  10. 10.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is ∛216? =
  16. 16.What is 9³? =
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is 6³? =
  19. 19.What is 16³? =
  20. 20.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  22. 22.What is ∛8? =
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.What is ∛512? =
  27. 27.What is 19³? =
  28. 28.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  30. 30.What is 20³? =
  31. 31.What is ∛8000? =
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 2793 (b) 2855 (c) 2744
  34. 34.Which of these is a perfect cube? (a) 93 (b) 64 (c) 65
  35. 35.What is ∛343? =
  36. 36.What is ∛3375? =
  37. 37.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛4913? =

Answer key

  1. 3375
  2. 64
  3. 1331
  4. 729
  5. 12
  6. 14
  7. 3375
  8. 125
  9. 125
  10. 6
  11. 27
  12. 8
  13. 5
  14. 216
  15. 6
  16. 729
  17. 64
  18. 216
  19. 4096
  20. 49
  21. 2
  22. 2
  23. 27
  24. 64
  25. 4
  26. 8
  27. 6859
  28. 8
  29. 9
  30. 8000
  31. 20
  32. 64
  33. 2744
  34. 64
  35. 7
  36. 15
  37. 3
  38. 4
  39. 17
  40. 17

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