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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 810 · 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.What is ∛512? =
  2. 2.What is ∛1728? =
  3. 3.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  6. 6.What is 13³? =
  7. 7.Which of these is a perfect cube? (a) 3597 (b) 3375 (c) 3994
  8. 8.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 12³? =
  10. 10.Which of these is a perfect cube? (a) 36 (b) 41 (c) 27
  11. 11.What is ∛2197? =
  12. 12.Which of these is a perfect cube? (a) 307 (b) 271 (c) 216
  13. 13.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  14. 14.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is 8³? =
  16. 16.Which of these is a perfect cube? (a) 1331 (b) 1515 (c) 1440
  17. 17.What is ∛27? =
  18. 18.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.What is 9³? =
  21. 21.What is ∛3375? =
  22. 22.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 520 (b) 512 (c) 671
  25. 25.What is 4³? =
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 197 (b) 159 (c) 125
  31. 31.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  32. 32.What is 3³? =
  33. 33.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  36. 36.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 2744 (b) 2786 (c) 2827
  40. 40.What is ∛8000? =

Answer key

  1. 8
  2. 12
  3. 7
  4. 8
  5. 19
  6. 2197
  7. 3375
  8. 125
  9. 1728
  10. 27
  11. 13
  12. 216
  13. 3
  14. 125
  15. 512
  16. 1331
  17. 3
  18. 4
  19. 2
  20. 729
  21. 15
  22. 7
  23. 10
  24. 512
  25. 64
  26. 6
  27. 3
  28. 16
  29. 4
  30. 125
  31. 25
  32. 27
  33. 3
  34. 25
  35. 49
  36. 64
  37. 49
  38. 125
  39. 2744
  40. 20

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