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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 875 · 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 ∛64? =
  2. 2.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is 3³? =
  5. 5.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  6. 6.What is 15³? =
  7. 7.What is 5³? =
  8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  11. 11.What is 20³? =
  12. 12.What is ∛1331? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  15. 15.What is ∛12167? =
  16. 16.What is 8³? =
  17. 17.What is ∛2744? =
  18. 18.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 27 (b) 44 (c) 30
  21. 21.What is 16³? =
  22. 22.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  23. 23.Which of these is a perfect cube? (a) 2197 (b) 2347 (c) 2428
  24. 24.Which of these is a perfect cube? (a) 2771 (b) 3124 (c) 2744
  25. 25.What is 7³? =
  26. 26.Which of these is a perfect cube? (a) 1365 (b) 1401 (c) 1331
  27. 27.What is 11³? =
  28. 28.What is 10³? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 373 (b) 371 (c) 343
  32. 32.What is ∛2197? =
  33. 33.Which of these is a perfect cube? (a) 1092 (b) 1000 (c) 1047
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is ∛6859? =
  36. 36.What is 18³? =
  37. 37.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 2
  3. 216
  4. 27
  5. 6
  6. 3375
  7. 125
  8. 17
  9. 8
  10. 3
  11. 8000
  12. 11
  13. 216
  14. 25
  15. 23
  16. 512
  17. 14
  18. 125
  19. 13
  20. 27
  21. 4096
  22. 3
  23. 2197
  24. 2744
  25. 343
  26. 1331
  27. 1331
  28. 1000
  29. 27
  30. 14
  31. 343
  32. 13
  33. 1000
  34. 64
  35. 19
  36. 5832
  37. 16
  38. 64
  39. 8
  40. 20

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