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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 707 · 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 ∛1728? =
  2. 2.What is ∛2197? =
  3. 3.Which of these is a perfect cube? (a) 3054 (b) 3251 (c) 2744
  4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is 13³? =
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 64 (b) 79 (c) 67
  8. 8.Which of these is a perfect cube? (a) 597 (b) 512 (c) 601
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is 17³? =
  11. 11.Which of these is a perfect cube? (a) 3580 (b) 3375 (c) 3604
  12. 12.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is 16³? =
  14. 14.What is ∛2744? =
  15. 15.Which of these is a perfect cube? (a) 304 (b) 216 (c) 283
  16. 16.Which of these is a perfect cube? (a) 2328 (b) 2344 (c) 2197
  17. 17.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛216? =
  20. 20.What is ∛15625? =
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 30 (b) 50 (c) 27
  23. 23.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  24. 24.What is 3³? =
  25. 25.Which of these is a perfect cube? (a) 1728 (b) 1785 (c) 2139
  26. 26.What is ∛64? =
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  32. 32.What is 12³? =
  33. 33.What is ∛10648? =
  34. 34.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 184 (b) 152 (c) 125
  37. 37.What is ∛4913? =
  38. 38.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 864 must be divided to get a perfect cube?

Answer key

  1. 12
  2. 13
  3. 2744
  4. 64
  5. 2197
  6. 8
  7. 64
  8. 512
  9. 4
  10. 4913
  11. 3375
  12. 125
  13. 4096
  14. 14
  15. 216
  16. 2197
  17. 11
  18. 216
  19. 6
  20. 25
  21. 216
  22. 27
  23. 25
  24. 27
  25. 1728
  26. 4
  27. 27
  28. 8
  29. 216
  30. 14
  31. 2
  32. 1728
  33. 22
  34. 2
  35. 49
  36. 125
  37. 17
  38. 9
  39. 27
  40. 4

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