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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 73 · 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.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛3375? =
  5. 5.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  7. 7.What is 5³? =
  8. 8.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.What is 18³? =
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is 7³? =
  12. 12.What is ∛6859? =
  13. 13.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  14. 14.What is ∛64? =
  15. 15.Which of these is a perfect cube? (a) 34 (b) 27 (c) 54
  16. 16.What is 2³? =
  17. 17.What is 4³? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is 13³? =
  20. 20.Which of these is a perfect cube? (a) 1691 (b) 1587 (c) 1331
  21. 21.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 527 (b) 512 (c) 553
  23. 23.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 1236 (b) 1067 (c) 1000
  26. 26.What is 16³? =
  27. 27.What is 10³? =
  28. 28.What is ∛1000? =
  29. 29.What is 15³? =
  30. 30.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 2559 (b) 2197 (c) 2311
  32. 32.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 64 (b) 76 (c) 101
  34. 34.Which of these is a perfect cube? (a) 182 (b) 155 (c) 125
  35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛10648? =
  39. 39.What is ∛12167? =
  40. 40.Which of these is a perfect cube? (a) 1728 (b) 1798 (c) 2023

Answer key

  1. 64
  2. 27
  3. 17
  4. 15
  5. 2
  6. 4
  7. 125
  8. 125
  9. 5832
  10. 64
  11. 343
  12. 19
  13. 5
  14. 4
  15. 27
  16. 8
  17. 64
  18. 216
  19. 2197
  20. 1331
  21. 25
  22. 512
  23. 15
  24. 9
  25. 1000
  26. 4096
  27. 1000
  28. 10
  29. 3375
  30. 2
  31. 2197
  32. 125
  33. 64
  34. 125
  35. 216
  36. 27
  37. 4
  38. 22
  39. 23
  40. 1728

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