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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 227 · 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 ∛343? =
  2. 2.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 44 (b) 50 (c) 27
  7. 7.What is ∛216? =
  8. 8.Which of these is a perfect cube? (a) 3375 (b) 3449 (c) 3385
  9. 9.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  10. 10.What is ∛8? =
  11. 11.What is ∛125? =
  12. 12.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  13. 13.What is 4³? =
  14. 14.What is 11³? =
  15. 15.What is 6³? =
  16. 16.Which of these is a perfect cube? (a) 1391 (b) 1351 (c) 1331
  17. 17.Which of these is a perfect cube? (a) 2744 (b) 3023 (c) 2953
  18. 18.Which of these is a perfect cube? (a) 293 (b) 216 (c) 284
  19. 19.Which of these is a perfect cube? (a) 791 (b) 801 (c) 729
  20. 20.What is 16³? =
  21. 21.Which of these is a perfect cube? (a) 1131 (b) 1000 (c) 1136
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛10648? =
  24. 24.What is ∛13824? =
  25. 25.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛729? =
  27. 27.What is 9³? =
  28. 28.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  29. 29.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.What is 10³? =
  31. 31.What is 7³? =
  32. 32.What is 5³? =
  33. 33.What is 18³? =
  34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛1728? =
  39. 39.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 101 (b) 64 (c) 66

Answer key

  1. 7
  2. 18
  3. 216
  4. 2
  5. 8
  6. 27
  7. 6
  8. 3375
  9. 4
  10. 2
  11. 5
  12. 9
  13. 64
  14. 1331
  15. 216
  16. 1331
  17. 2744
  18. 216
  19. 729
  20. 4096
  21. 1000
  22. 4
  23. 22
  24. 24
  25. 64
  26. 9
  27. 729
  28. 5
  29. 125
  30. 1000
  31. 343
  32. 125
  33. 5832
  34. 3
  35. 216
  36. 20
  37. 15
  38. 12
  39. 3
  40. 64

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