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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 503 · 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) 1257 (c) 1056
  2. 2.What is ∛4913? =
  3. 3.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  4. 4.What is 2³? =
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 64 (b) 72 (c) 68
  7. 7.What is 13³? =
  8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛12167? =
  10. 10.What is 3³? =
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 1944 (b) 2002 (c) 1728
  13. 13.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  14. 14.What is ∛1000? =
  15. 15.What is ∛9261? =
  16. 16.What is ∛8? =
  17. 17.What is ∛1331? =
  18. 18.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  20. 20.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛15625? =
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛10648? =
  26. 26.Which of these is a perfect cube? (a) 31 (b) 27 (c) 50
  27. 27.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is ∛64? =
  29. 29.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is 7³? =
  32. 32.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  34. 34.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is ∛8000? =
  36. 36.What is ∛2744? =
  37. 37.What is 20³? =
  38. 38.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  39. 39.What is 16³? =
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

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

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