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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 851 · 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 ∛8? =
  3. 3.What is ∛10648? =
  4. 4.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 1171 (b) 1000 (c) 1143
  6. 6.Which of these is a perfect cube? (a) 2624 (b) 2486 (c) 2197
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is ∛9261? =
  9. 9.Which of these is a perfect cube? (a) 512 (b) 629 (c) 550
  10. 10.Which of these is a perfect cube? (a) 280 (b) 272 (c) 216
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛343? =
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  16. 16.What is ∛6859? =
  17. 17.What is ∛4096? =
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is 7³? =
  20. 20.What is ∛5832? =
  21. 21.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  22. 22.What is ∛1331? =
  23. 23.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is ∛1000? =
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 171 (b) 137 (c) 125
  27. 27.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  28. 28.What is 8³? =
  29. 29.What is ∛2744? =
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  32. 32.What is 3³? =
  33. 33.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  35. 35.What is 10³? =
  36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is ∛4913? =
  38. 38.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 84 (b) 67 (c) 64
  40. 40.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 4
  2. 2
  3. 22
  4. 49
  5. 1000
  6. 2197
  7. 64
  8. 21
  9. 512
  10. 216
  11. 8
  12. 7
  13. 20
  14. 5
  15. 49
  16. 19
  17. 16
  18. 8
  19. 343
  20. 18
  21. 5
  22. 11
  23. 125
  24. 10
  25. 64
  26. 125
  27. 5
  28. 512
  29. 14
  30. 216
  31. 3
  32. 27
  33. 6
  34. 4
  35. 1000
  36. 27
  37. 17
  38. 27
  39. 64
  40. 8

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