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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 316 · 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.Which of these is a perfect cube? (a) 2439 (b) 2197 (c) 2411
  2. 2.What is ∛1728? =
  3. 3.What is ∛9261? =
  4. 4.Which of these is a perfect cube? (a) 819 (b) 812 (c) 729
  5. 5.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛15625? =
  8. 8.What is 8³? =
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is 10³? =
  11. 11.Which of these is a perfect cube? (a) 52 (b) 27 (c) 51
  12. 12.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  13. 13.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  15. 15.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  18. 18.What is ∛1000? =
  19. 19.What is ∛10648? =
  20. 20.Which of these is a perfect cube? (a) 1000 (b) 1085 (c) 1140
  21. 21.Which of these is a perfect cube? (a) 137 (b) 164 (c) 125
  22. 22.What is ∛13824? =
  23. 23.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  24. 24.What is ∛3375? =
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛2744? =
  28. 28.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 92 (b) 70 (c) 64
  30. 30.What is 2³? =
  31. 31.Which of these is a perfect cube? (a) 1896 (b) 2160 (c) 1728
  32. 32.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 370 (b) 343 (c) 399
  35. 35.What is 4³? =
  36. 36.What is 3³? =
  37. 37.What is ∛64? =
  38. 38.What is ∛729? =
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

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

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