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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 31 · 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 ∛216? =
  2. 2.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  3. 3.What is 10³? =
  4. 4.What is ∛8000? =
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 1331 (b) 1447 (c) 1483
  7. 7.What is ∛1728? =
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.What is 3³? =
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is 9³? =
  12. 12.What is 16³? =
  13. 13.What is ∛1000? =
  14. 14.Which of these is a perfect cube? (a) 1037 (b) 1000 (c) 1294
  15. 15.What is 13³? =
  16. 16.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 2061 (b) 1986 (c) 1728
  18. 18.Which of these is a perfect cube? (a) 343 (b) 443 (c) 379
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 580 (b) 512 (c) 536
  21. 21.Which of these is a perfect cube? (a) 3375 (b) 3608 (c) 3632
  22. 22.What is ∛2744? =
  23. 23.What is ∛2197? =
  24. 24.What is 6³? =
  25. 25.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 216 (b) 229 (c) 281
  29. 29.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 125 (b) 198 (c) 151
  31. 31.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  33. 33.What is ∛64? =
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.What is 15³? =
  36. 36.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  37. 37.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  39. 39.What is ∛27? =
  40. 40.Which of these is a perfect cube? (a) 28 (b) 45 (c) 27

Answer key

  1. 6
  2. 16
  3. 1000
  4. 20
  5. 64
  6. 1331
  7. 12
  8. 4
  9. 27
  10. 27
  11. 729
  12. 4096
  13. 10
  14. 1000
  15. 2197
  16. 3
  17. 1728
  18. 343
  19. 2
  20. 512
  21. 3375
  22. 14
  23. 13
  24. 216
  25. 3
  26. 49
  27. 5
  28. 216
  29. 19
  30. 125
  31. 18
  32. 4
  33. 4
  34. 15
  35. 3375
  36. 3
  37. 5
  38. 25
  39. 3
  40. 27

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