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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 25 · 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) 232 (b) 216 (c) 230
  2. 2.What is 6³? =
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1336 (b) 1504 (c) 1331
  6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  7. 7.What is 5³? =
  8. 8.Which of these is a perfect cube? (a) 146 (b) 186 (c) 125
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 1971 (b) 2022 (c) 1728
  11. 11.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 4045 (b) 3375 (c) 3525
  14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 886 (b) 729 (c) 910
  20. 20.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is ∛343? =
  23. 23.Which of these is a perfect cube? (a) 343 (b) 425 (c) 363
  24. 24.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 2529 (b) 2197 (c) 2514
  27. 27.Which of these is a perfect cube? (a) 27 (b) 29 (c) 35
  28. 28.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛4913? =
  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.What is 9³? =
  33. 33.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛6859? =
  36. 36.What is 3³? =
  37. 37.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  38. 38.What is ∛512? =
  39. 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  40. 40.What is 15³? =

Answer key

  1. 216
  2. 216
  3. 216
  4. 13
  5. 1331
  6. 7
  7. 125
  8. 125
  9. 5
  10. 1728
  11. 9
  12. 4
  13. 3375
  14. 27
  15. 5
  16. 3
  17. 8
  18. 9
  19. 729
  20. 8
  21. 125
  22. 7
  23. 343
  24. 49
  25. 16
  26. 2197
  27. 27
  28. 2
  29. 3
  30. 17
  31. 216
  32. 729
  33. 49
  34. 17
  35. 19
  36. 27
  37. 4
  38. 8
  39. 11
  40. 3375

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