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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 430 · 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 11³? =
  2. 2.Which of these is a perfect cube? (a) 101 (b) 64 (c) 67
  3. 3.What is 4³? =
  4. 4.What is ∛5832? =
  5. 5.What is ∛64? =
  6. 6.What is 12³? =
  7. 7.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  8. 8.What is 2³? =
  9. 9.Which of these is a perfect cube? (a) 3183 (b) 3089 (c) 2744
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 915 (b) 774 (c) 729
  12. 12.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  13. 13.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  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 7³? =
  16. 16.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  17. 17.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  18. 18.What is 18³? =
  19. 19.What is 15³? =
  20. 20.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is 13³? =
  23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 1331 (b) 1478 (c) 1467
  26. 26.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  27. 27.What is 8³? =
  28. 28.Which of these is a perfect cube? (a) 2291 (b) 2469 (c) 2197
  29. 29.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  30. 30.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  32. 32.What is 5³? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 3398 (b) 3458 (c) 3375
  37. 37.What is ∛13824? =
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.What is 3³? =
  40. 40.What is ∛125? =

Answer key

  1. 1331
  2. 64
  3. 64
  4. 18
  5. 4
  6. 1728
  7. 8
  8. 8
  9. 2744
  10. 27
  11. 729
  12. 7
  13. 4
  14. 8
  15. 343
  16. 25
  17. 2
  18. 5832
  19. 3375
  20. 11
  21. 27
  22. 2197
  23. 8
  24. 20
  25. 1331
  26. 9
  27. 512
  28. 2197
  29. 125
  30. 12
  31. 7
  32. 125
  33. 216
  34. 15
  35. 64
  36. 3375
  37. 24
  38. 3
  39. 27
  40. 5

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