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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 542 · 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) 216 (b) 315 (c) 234
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 3433 (b) 3375 (c) 3644
  4. 4.What is ∛125? =
  5. 5.Which of these is a perfect cube? (a) 64 (b) 112 (c) 88
  6. 6.Which of these is a perfect cube? (a) 455 (b) 343 (c) 409
  7. 7.Which of these is a perfect cube? (a) 1607 (b) 1331 (c) 1524
  8. 8.Which of these is a perfect cube? (a) 1043 (b) 1000 (c) 1036
  9. 9.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is 17³? =
  11. 11.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 47 (b) 42 (c) 27
  14. 14.What is 10³? =
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is 20³? =
  18. 18.Which of these is a perfect cube? (a) 512 (b) 587 (c) 644
  19. 19.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  22. 22.What is ∛216? =
  23. 23.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  24. 24.What is 12³? =
  25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 729 (b) 951 (c) 862
  27. 27.What is 13³? =
  28. 28.What is ∛729? =
  29. 29.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 6³? =
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is 14³? =
  36. 36.Which of these is a perfect cube? (a) 1951 (b) 1728 (c) 2104
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.What is 11³? =
  39. 39.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛2197? =

Answer key

  1. 216
  2. 64
  3. 3375
  4. 5
  5. 64
  6. 343
  7. 1331
  8. 1000
  9. 8
  10. 4913
  11. 6
  12. 25
  13. 27
  14. 1000
  15. 4
  16. 125
  17. 8000
  18. 512
  19. 4
  20. 19
  21. 3
  22. 6
  23. 3
  24. 1728
  25. 10
  26. 729
  27. 2197
  28. 9
  29. 27
  30. 216
  31. 216
  32. 27
  33. 5
  34. 64
  35. 2744
  36. 1728
  37. 9
  38. 1331
  39. 15
  40. 13

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