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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 706 · 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 ∛2744? =
  2. 2.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  3. 3.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  4. 4.What is 8³? =
  5. 5.Which of these is a perfect cube? (a) 1000 (b) 1144 (c) 1124
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is ∛12167? =
  8. 8.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 199 (b) 125 (c) 147
  10. 10.Which of these is a perfect cube? (a) 216 (b) 288 (c) 234
  11. 11.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛3375? =
  13. 13.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  14. 14.What is 9³? =
  15. 15.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  16. 16.What is ∛4913? =
  17. 17.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  18. 18.What is 4³? =
  19. 19.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  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 8000 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is 20³? =
  25. 25.What is 7³? =
  26. 26.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  29. 29.What is ∛343? =
  30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is ∛512? =
  33. 33.Which of these is a perfect cube? (a) 825 (b) 729 (c) 827
  34. 34.What is ∛1331? =
  35. 35.What is ∛15625? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is 14³? =
  38. 38.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  39. 39.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 3
  3. 4
  4. 512
  5. 1000
  6. 64
  7. 23
  8. 8
  9. 125
  10. 216
  11. 6
  12. 15
  13. 25
  14. 729
  15. 4
  16. 17
  17. 14
  18. 64
  19. 19
  20. 125
  21. 20
  22. 17
  23. 27
  24. 8000
  25. 343
  26. 4
  27. 27
  28. 49
  29. 7
  30. 3
  31. 216
  32. 8
  33. 729
  34. 11
  35. 25
  36. 216
  37. 2744
  38. 49
  39. 12
  40. 4

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