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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 206 · 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 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 1000 (b) 1298 (c) 1217
  3. 3.What is 20³? =
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 12³? =
  6. 6.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛125? =
  11. 11.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 512 (b) 555 (c) 575
  13. 13.Which of these is a perfect cube? (a) 1419 (b) 1383 (c) 1331
  14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 71 (b) 67 (c) 64
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛216? =
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is ∛10648? =
  25. 25.What is ∛2197? =
  26. 26.What is 10³? =
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is 13³? =
  29. 29.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  32. 32.What is 3³? =
  33. 33.What is 18³? =
  34. 34.What is 17³? =
  35. 35.What is 2³? =
  36. 36.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  37. 37.What is ∛6859? =
  38. 38.Which of these is a perfect cube? (a) 486 (b) 343 (c) 357
  39. 39.What is ∛4913? =
  40. 40.What is 6³? =

Answer key

  1. 8
  2. 1000
  3. 8000
  4. 125
  5. 1728
  6. 6
  7. 7
  8. 3
  9. 4
  10. 5
  11. 20
  12. 512
  13. 1331
  14. 216
  15. 64
  16. 8
  17. 25
  18. 9
  19. 4
  20. 11
  21. 16
  22. 6
  23. 216
  24. 22
  25. 13
  26. 1000
  27. 64
  28. 2197
  29. 3
  30. 3
  31. 7
  32. 27
  33. 5832
  34. 4913
  35. 8
  36. 2
  37. 19
  38. 343
  39. 17
  40. 216

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