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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 134 · 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 ∛64? =
  2. 2.Which of these is a perfect cube? (a) 216 (b) 296 (c) 289
  3. 3.Which of these is a perfect cube? (a) 88 (b) 75 (c) 64
  4. 4.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  5. 5.What is 13³? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 18³? =
  8. 8.Which of these is a perfect cube? (a) 555 (b) 512 (c) 619
  9. 9.Which of these is a perfect cube? (a) 33 (b) 27 (c) 44
  10. 10.What is ∛5832? =
  11. 11.What is ∛343? =
  12. 12.What is ∛3375? =
  13. 13.What is the smallest whole number by which 3125 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.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 445 (b) 448 (c) 343
  17. 17.What is 2³? =
  18. 18.What is ∛1728? =
  19. 19.What is ∛4096? =
  20. 20.What is ∛9261? =
  21. 21.What is 8³? =
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is ∛12167? =
  24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is 11³? =
  27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  29. 29.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.Which of these is a perfect cube? (a) 1055 (b) 1000 (c) 1020
  31. 31.Which of these is a perfect cube? (a) 1832 (b) 1728 (c) 1999
  32. 32.What is ∛15625? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛8? =
  36. 36.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is ∛13824? =
  38. 38.What is 14³? =
  39. 39.What is ∛1331? =
  40. 40.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 216
  3. 64
  4. 5
  5. 2197
  6. 64
  7. 5832
  8. 512
  9. 27
  10. 18
  11. 7
  12. 15
  13. 25
  14. 125
  15. 5
  16. 343
  17. 8
  18. 12
  19. 16
  20. 21
  21. 512
  22. 8
  23. 23
  24. 10
  25. 27
  26. 1331
  27. 125
  28. 9
  29. 64
  30. 1000
  31. 1728
  32. 25
  33. 64
  34. 2
  35. 2
  36. 216
  37. 24
  38. 2744
  39. 11
  40. 20

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