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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 320 · 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 108 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 1448 (b) 1331 (c) 1427
  3. 3.What is ∛216? =
  4. 4.What is ∛9261? =
  5. 5.Which of these is a perfect cube? (a) 46 (b) 30 (c) 27
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.What is 20³? =
  8. 8.Which of these is a perfect cube? (a) 2197 (b) 2676 (c) 2480
  9. 9.Which of these is a perfect cube? (a) 881 (b) 758 (c) 729
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is ∛4913? =
  12. 12.What is ∛1000? =
  13. 13.What is ∛8? =
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is 19³? =
  16. 16.What is ∛3375? =
  17. 17.What is 3³? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 479 (b) 462 (c) 343
  20. 20.What is 6³? =
  21. 21.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 3375 (b) 3840 (c) 3591
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 111 (b) 70 (c) 64
  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 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 1000 (b) 1253 (c) 1262
  29. 29.What is 11³? =
  30. 30.What is ∛5832? =
  31. 31.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛343? =
  33. 33.What is 4³? =
  34. 34.What is 15³? =
  35. 35.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛12167? =
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 18³? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 2
  2. 1331
  3. 6
  4. 21
  5. 27
  6. 16
  7. 8000
  8. 2197
  9. 729
  10. 8
  11. 17
  12. 10
  13. 2
  14. 8
  15. 6859
  16. 15
  17. 27
  18. 2
  19. 343
  20. 216
  21. 18
  22. 3375
  23. 27
  24. 64
  25. 3
  26. 64
  27. 14
  28. 1000
  29. 1331
  30. 18
  31. 13
  32. 7
  33. 64
  34. 3375
  35. 9
  36. 23
  37. 8
  38. 125
  39. 5832
  40. 64

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