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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 755 · 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 ∛10648? =
  2. 2.What is 13³? =
  3. 3.What is ∛8000? =
  4. 4.Which of these is a perfect cube? (a) 729 (b) 730 (c) 882
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is ∛4096? =
  7. 7.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 1387 (b) 1383 (c) 1331
  9. 9.What is ∛13824? =
  10. 10.What is ∛2197? =
  11. 11.What is 3³? =
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  17. 17.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  18. 18.What is 17³? =
  19. 19.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  21. 21.What is 16³? =
  22. 22.What is ∛1331? =
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 9 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 3 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 87 (b) 90 (c) 64
  27. 27.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  28. 28.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  30. 30.What is ∛27? =
  31. 31.Which of these is a perfect cube? (a) 164 (b) 167 (c) 125
  32. 32.Which of these is a perfect cube? (a) 3307 (b) 3057 (c) 2744
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 602 (b) 619 (c) 512
  35. 35.What is 5³? =
  36. 36.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  38. 38.What is ∛1728? =
  39. 39.What is ∛6859? =
  40. 40.What is 6³? =

Answer key

  1. 22
  2. 2197
  3. 20
  4. 729
  5. 27
  6. 16
  7. 19
  8. 1331
  9. 24
  10. 13
  11. 27
  12. 15
  13. 125
  14. 216
  15. 216
  16. 4
  17. 5
  18. 4913
  19. 25
  20. 25
  21. 4096
  22. 11
  23. 2
  24. 27
  25. 8
  26. 64
  27. 5
  28. 125
  29. 3
  30. 3
  31. 125
  32. 2744
  33. 64
  34. 512
  35. 125
  36. 3
  37. 49
  38. 12
  39. 19
  40. 216

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