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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 613 · 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 17³? =
  2. 2.What is 15³? =
  3. 3.What is ∛8000? =
  4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 1331 (b) 1529 (c) 1349
  9. 9.Which of these is a perfect cube? (a) 64 (b) 83 (c) 70
  10. 10.What is 12³? =
  11. 11.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is 7³? =
  13. 13.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  14. 14.What is ∛1728? =
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛216? =
  18. 18.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  19. 19.What is ∛6859? =
  20. 20.What is ∛27? =
  21. 21.What is ∛8? =
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  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 the smallest whole number by which 54 must be divided to get a perfect cube?
  25. 25.What is 11³? =
  26. 26.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 2527 (b) 2197 (c) 2638
  28. 28.Which of these is a perfect cube? (a) 241 (b) 315 (c) 216
  29. 29.Which of these is a perfect cube? (a) 1909 (b) 1728 (c) 1818
  30. 30.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛4096? =
  33. 33.What is ∛729? =
  34. 34.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  35. 35.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 168 (b) 125 (c) 154
  37. 37.What is ∛15625? =
  38. 38.Which of these is a perfect cube? (a) 3052 (b) 3114 (c) 2744
  39. 39.Which of these is a perfect cube? (a) 512 (b) 539 (c) 618
  40. 40.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?

Answer key

  1. 4913
  2. 3375
  3. 20
  4. 64
  5. 5
  6. 216
  7. 8
  8. 1331
  9. 64
  10. 1728
  11. 8
  12. 343
  13. 9
  14. 12
  15. 64
  16. 11
  17. 6
  18. 2
  19. 19
  20. 3
  21. 2
  22. 4
  23. 216
  24. 2
  25. 1331
  26. 16
  27. 2197
  28. 216
  29. 1728
  30. 3
  31. 5
  32. 16
  33. 9
  34. 25
  35. 216
  36. 125
  37. 25
  38. 2744
  39. 512
  40. 7

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