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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 525 · 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 6³? =
  2. 2.Which of these is a perfect cube? (a) 216 (b) 306 (c) 238
  3. 3.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  4. 4.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  5. 5.What is ∛6859? =
  6. 6.What is 11³? =
  7. 7.Which of these is a perfect cube? (a) 36 (b) 38 (c) 27
  8. 8.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 1000 (b) 1128 (c) 1215
  10. 10.What is ∛343? =
  11. 11.What is ∛512? =
  12. 12.Which of these is a perfect cube? (a) 2989 (b) 2744 (c) 2833
  13. 13.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 1585 (b) 1613 (c) 1331
  15. 15.What is 5³? =
  16. 16.What is 2³? =
  17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  21. 21.What is 12³? =
  22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  24. 24.What is 20³? =
  25. 25.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  26. 26.What is 3³? =
  27. 27.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  28. 28.What is ∛8000? =
  29. 29.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 740 (b) 729 (c) 871
  31. 31.What is 13³? =
  32. 32.What is ∛216? =
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 4³? =
  35. 35.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  37. 37.What is 9³? =
  38. 38.What is ∛2197? =
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 216
  2. 216
  3. 3
  4. 7
  5. 19
  6. 1331
  7. 27
  8. 19
  9. 1000
  10. 7
  11. 8
  12. 2744
  13. 15
  14. 1331
  15. 125
  16. 8
  17. 4
  18. 27
  19. 10
  20. 3
  21. 1728
  22. 6
  23. 2
  24. 8000
  25. 4
  26. 27
  27. 49
  28. 20
  29. 25
  30. 729
  31. 2197
  32. 6
  33. 64
  34. 64
  35. 9
  36. 11
  37. 729
  38. 13
  39. 125
  40. 27

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