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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 770 · 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.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 244 (b) 216 (c) 268
  5. 5.What is ∛2744? =
  6. 6.Which of these is a perfect cube? (a) 64 (b) 72 (c) 100
  7. 7.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 3057 (b) 3292 (c) 2744
  9. 9.What is ∛512? =
  10. 10.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  11. 11.What is 15³? =
  12. 12.What is 10³? =
  13. 13.What is 6³? =
  14. 14.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  15. 15.What is ∛13824? =
  16. 16.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛3375? =
  21. 21.Which of these is a perfect cube? (a) 3824 (b) 3375 (c) 3715
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is 3³? =
  24. 24.Which of these is a perfect cube? (a) 30 (b) 38 (c) 27
  25. 25.What is ∛4096? =
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 1685 (b) 1630 (c) 1331
  29. 29.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  30. 30.What is 14³? =
  31. 31.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 811 (b) 843 (c) 729
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.What is 7³? =
  37. 37.What is ∛10648? =
  38. 38.What is 8³? =
  39. 39.What is ∛729? =
  40. 40.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?

Answer key

  1. 1331
  2. 4
  3. 64
  4. 216
  5. 14
  6. 64
  7. 7
  8. 2744
  9. 8
  10. 9
  11. 3375
  12. 1000
  13. 216
  14. 5
  15. 24
  16. 17
  17. 216
  18. 5
  19. 20
  20. 15
  21. 3375
  22. 27
  23. 27
  24. 27
  25. 16
  26. 27
  27. 4
  28. 1331
  29. 2
  30. 2744
  31. 9
  32. 729
  33. 8
  34. 64
  35. 216
  36. 343
  37. 22
  38. 512
  39. 9
  40. 49

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