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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 487 · 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 2³? =
  2. 2.What is 11³? =
  3. 3.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  4. 4.What is 20³? =
  5. 5.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is 18³? =
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛27? =
  9. 9.What is 16³? =
  10. 10.Which of these is a perfect cube? (a) 298 (b) 216 (c) 263
  11. 11.Which of these is a perfect cube? (a) 1230 (b) 1226 (c) 1000
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is 15³? =
  14. 14.Which of these is a perfect cube? (a) 753 (b) 729 (c) 944
  15. 15.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛729? =
  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.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  21. 21.What is ∛64? =
  22. 22.Which of these is a perfect cube? (a) 125 (b) 198 (c) 131
  23. 23.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is 3³? =
  26. 26.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 532 (b) 524 (c) 512
  31. 31.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛216? =
  34. 34.What is ∛1331? =
  35. 35.Which of these is a perfect cube? (a) 89 (b) 83 (c) 64
  36. 36.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  37. 37.What is 12³? =
  38. 38.What is 9³? =
  39. 39.Which of these is a perfect cube? (a) 3375 (b) 4039 (c) 3427
  40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

Answer key

  1. 8
  2. 1331
  3. 7
  4. 8000
  5. 125
  6. 5832
  7. 13
  8. 3
  9. 4096
  10. 216
  11. 1000
  12. 8
  13. 3375
  14. 729
  15. 25
  16. 125
  17. 9
  18. 216
  19. 18
  20. 3
  21. 4
  22. 125
  23. 49
  24. 8
  25. 27
  26. 9
  27. 15
  28. 27
  29. 7
  30. 512
  31. 8
  32. 216
  33. 6
  34. 11
  35. 64
  36. 7
  37. 1728
  38. 729
  39. 3375
  40. 14

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