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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 583 · 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 20³? =
  2. 2.What is 16³? =
  3. 3.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛64? =
  5. 5.What is ∛2197? =
  6. 6.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  7. 7.What is ∛8? =
  8. 8.What is 3³? =
  9. 9.What is ∛1331? =
  10. 10.Which of these is a perfect cube? (a) 28 (b) 32 (c) 27
  11. 11.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  13. 13.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 1331 (b) 1493 (c) 1462
  15. 15.Which of these is a perfect cube? (a) 1728 (b) 1801 (c) 1773
  16. 16.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  17. 17.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛1728? =
  20. 20.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  21. 21.What is 18³? =
  22. 22.What is ∛125? =
  23. 23.What is ∛512? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.What is ∛13824? =
  27. 27.What is ∛6859? =
  28. 28.Which of these is a perfect cube? (a) 183 (b) 125 (c) 200
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.What is 8³? =
  31. 31.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  32. 32.A big cube of edge 4 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) 2865 (b) 2744 (c) 2927
  34. 34.What is ∛343? =
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 395 (b) 343 (c) 448
  37. 37.Which of these is a perfect cube? (a) 3752 (b) 3375 (c) 3591
  38. 38.A big cube of edge 18 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) 74 (b) 78 (c) 64
  40. 40.Which of these is a perfect cube? (a) 512 (b) 624 (c) 551

Answer key

  1. 8000
  2. 4096
  3. 4
  4. 4
  5. 13
  6. 25
  7. 2
  8. 27
  9. 11
  10. 27
  11. 25
  12. 9
  13. 125
  14. 1331
  15. 1728
  16. 3
  17. 4
  18. 14
  19. 12
  20. 25
  21. 5832
  22. 5
  23. 8
  24. 64
  25. 216
  26. 24
  27. 19
  28. 125
  29. 3
  30. 512
  31. 9
  32. 64
  33. 2744
  34. 7
  35. 17
  36. 343
  37. 3375
  38. 216
  39. 64
  40. 512

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