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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 462 · 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) 1277 (b) 1158 (c) 1000
  2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A big cube of edge 16 cm is cut into small cubes of edge 4 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.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is ∛1728? =
  7. 7.What is 16³? =
  8. 8.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  9. 9.What is ∛343? =
  10. 10.Which of these is a perfect cube? (a) 1464 (b) 1360 (c) 1331
  11. 11.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.What is 7³? =
  16. 16.Which of these is a perfect cube? (a) 3375 (b) 3909 (c) 3816
  17. 17.Which of these is a perfect cube? (a) 35 (b) 32 (c) 27
  18. 18.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  19. 19.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 512 (b) 559 (c) 517
  26. 26.Which of these is a perfect cube? (a) 263 (b) 297 (c) 216
  27. 27.What is 3³? =
  28. 28.Which of these is a perfect cube? (a) 343 (b) 357 (c) 454
  29. 29.Which of these is a perfect cube? (a) 3081 (b) 2744 (c) 2759
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛8? =
  32. 32.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  38. 38.What is 19³? =
  39. 39.What is 15³? =
  40. 40.What is 18³? =

Answer key

  1. 1000
  2. 125
  3. 64
  4. 13
  5. 216
  6. 12
  7. 4096
  8. 2
  9. 7
  10. 1331
  11. 5
  12. 7
  13. 8
  14. 2
  15. 343
  16. 3375
  17. 27
  18. 4
  19. 16
  20. 8
  21. 49
  22. 8
  23. 9
  24. 25
  25. 512
  26. 216
  27. 27
  28. 343
  29. 2744
  30. 20
  31. 2
  32. 7
  33. 216
  34. 9
  35. 3
  36. 64
  37. 11
  38. 6859
  39. 3375
  40. 5832

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