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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 560 · 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.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is ∛5832? =
  4. 4.What is ∛343? =
  5. 5.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛125? =
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is 4³? =
  9. 9.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is 8³? =
  14. 14.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛13824? =
  18. 18.Which of these is a perfect cube? (a) 1495 (b) 1331 (c) 1350
  19. 19.What is ∛12167? =
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.Which of these is a perfect cube? (a) 3951 (b) 3554 (c) 3375
  22. 22.What is 14³? =
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 2197 (b) 2287 (c) 2665
  25. 25.What is 12³? =
  26. 26.Which of these is a perfect cube? (a) 729 (b) 801 (c) 790
  27. 27.Which of these is a perfect cube? (a) 512 (b) 686 (c) 616
  28. 28.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  31. 31.What is 16³? =
  32. 32.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  34. 34.What is ∛2197? =
  35. 35.What is ∛64? =
  36. 36.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 384 (b) 343 (c) 416
  39. 39.What is ∛1728? =
  40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

Answer key

  1. 22
  2. 125
  3. 18
  4. 7
  5. 9
  6. 5
  7. 27
  8. 64
  9. 2
  10. 11
  11. 64
  12. 8
  13. 512
  14. 15
  15. 4
  16. 216
  17. 24
  18. 1331
  19. 23
  20. 27
  21. 3375
  22. 2744
  23. 8
  24. 2197
  25. 1728
  26. 729
  27. 512
  28. 216
  29. 7
  30. 25
  31. 4096
  32. 25
  33. 2
  34. 13
  35. 4
  36. 125
  37. 13
  38. 343
  39. 12
  40. 14

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