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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 14 · 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 the smallest whole number by which 10584 must be divided to get a perfect cube?
  2. 2.What is 2³? =
  3. 3.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is 15³? =
  5. 5.What is ∛8? =
  6. 6.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛64? =
  8. 8.What is 6³? =
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 216 (b) 274 (c) 269
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 3712 (b) 3863 (c) 3375
  14. 14.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 2197 (b) 2330 (c) 2198
  16. 16.Which of these is a perfect cube? (a) 1000 (b) 1047 (c) 1190
  17. 17.What is 19³? =
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  20. 20.What is ∛5832? =
  21. 21.What is ∛4096? =
  22. 22.Which of these is a perfect cube? (a) 43 (b) 49 (c) 27
  23. 23.What is 4³? =
  24. 24.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  28. 28.What is ∛1000? =
  29. 29.Which of these is a perfect cube? (a) 554 (b) 512 (c) 552
  30. 30.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛1331? =
  32. 32.What is 10³? =
  33. 33.What is 13³? =
  34. 34.What is ∛729? =
  35. 35.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛8000? =
  37. 37.What is ∛13824? =
  38. 38.What is ∛1728? =
  39. 39.What is 12³? =
  40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

Answer key

  1. 49
  2. 8
  3. 27
  4. 3375
  5. 2
  6. 9
  7. 4
  8. 216
  9. 5
  10. 216
  11. 27
  12. 4
  13. 3375
  14. 8
  15. 2197
  16. 1000
  17. 6859
  18. 14
  19. 49
  20. 18
  21. 16
  22. 27
  23. 64
  24. 7
  25. 3
  26. 216
  27. 7
  28. 10
  29. 512
  30. 19
  31. 11
  32. 1000
  33. 2197
  34. 9
  35. 13
  36. 20
  37. 24
  38. 12
  39. 1728
  40. 7

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