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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 728 · 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.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is ∛8? =
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 125 (b) 152 (c) 193
  6. 6.What is 10³? =
  7. 7.What is ∛343? =
  8. 8.What is ∛2197? =
  9. 9.What is ∛3375? =
  10. 10.What is 8³? =
  11. 11.Which of these is a perfect cube? (a) 3375 (b) 3810 (c) 3437
  12. 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  14. 14.What is 17³? =
  15. 15.What is ∛1728? =
  16. 16.Which of these is a perfect cube? (a) 2197 (b) 2242 (c) 2223
  17. 17.What is ∛512? =
  18. 18.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 2092 (b) 1728 (c) 1808
  21. 21.What is ∛15625? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is ∛125? =
  24. 24.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛216? =
  26. 26.What is 12³? =
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  30. 30.What is ∛2744? =
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is 14³? =
  33. 33.Which of these is a perfect cube? (a) 302 (b) 299 (c) 216
  34. 34.What is ∛4913? =
  35. 35.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 9³? =
  37. 37.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 512 (b) 603 (c) 698
  39. 39.What is 6³? =
  40. 40.Which of these is a perfect cube? (a) 64 (b) 110 (c) 109

Answer key

  1. 27
  2. 2
  3. 10
  4. 16
  5. 125
  6. 1000
  7. 7
  8. 13
  9. 15
  10. 512
  11. 3375
  12. 27
  13. 3
  14. 4913
  15. 12
  16. 2197
  17. 8
  18. 4
  19. 216
  20. 1728
  21. 25
  22. 27
  23. 5
  24. 11
  25. 6
  26. 1728
  27. 8
  28. 2
  29. 2
  30. 14
  31. 8
  32. 2744
  33. 216
  34. 17
  35. 125
  36. 729
  37. 216
  38. 512
  39. 216
  40. 64

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