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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 251 · 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 ∛9261? =
  2. 2.What is ∛64? =
  3. 3.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is ∛1331? =
  5. 5.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  7. 7.What is 11³? =
  8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  9. 9.What is 8³? =
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 2847 (b) 2744 (c) 3206
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  15. 15.What is 18³? =
  16. 16.Which of these is a perfect cube? (a) 42 (b) 27 (c) 29
  17. 17.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  19. 19.What is 12³? =
  20. 20.Which of these is a perfect cube? (a) 2197 (b) 2442 (c) 2493
  21. 21.What is ∛13824? =
  22. 22.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 216 (b) 304 (c) 289
  26. 26.What is 3³? =
  27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 397 (b) 343 (c) 349
  29. 29.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 70 (b) 108 (c) 64
  32. 32.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 10³? =
  35. 35.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is ∛512? =
  39. 39.What is 2³? =
  40. 40.What is ∛4913? =

Answer key

  1. 21
  2. 4
  3. 125
  4. 11
  5. 3
  6. 4
  7. 1331
  8. 10
  9. 512
  10. 27
  11. 2744
  12. 19
  13. 6
  14. 3
  15. 5832
  16. 27
  17. 7
  18. 49
  19. 1728
  20. 2197
  21. 24
  22. 9
  23. 49
  24. 9
  25. 216
  26. 27
  27. 18
  28. 343
  29. 4
  30. 64
  31. 64
  32. 3
  33. 27
  34. 1000
  35. 16
  36. 2
  37. 27
  38. 8
  39. 8
  40. 17

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