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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 118 · 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 ∛512? =
  2. 2.What is ∛3375? =
  3. 3.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is ∛13824? =
  5. 5.What is 5³? =
  6. 6.What is 10³? =
  7. 7.What is 11³? =
  8. 8.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 64 (b) 87 (c) 98
  12. 12.What is ∛10648? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 2212 (b) 2517 (c) 2197
  15. 15.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 3375 (b) 3509 (c) 3520
  18. 18.What is 7³? =
  19. 19.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  23. 23.What is 12³? =
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 2744 (b) 2767 (c) 3191
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is 4³? =
  28. 28.What is 13³? =
  29. 29.What is ∛1331? =
  30. 30.What is ∛9261? =
  31. 31.What is ∛2197? =
  32. 32.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is ∛216? =
  36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is 15³? =
  40. 40.Which of these is a perfect cube? (a) 159 (b) 146 (c) 125

Answer key

  1. 8
  2. 15
  3. 64
  4. 24
  5. 125
  6. 1000
  7. 1331
  8. 15
  9. 49
  10. 64
  11. 64
  12. 22
  13. 27
  14. 2197
  15. 20
  16. 14
  17. 3375
  18. 343
  19. 25
  20. 18
  21. 5
  22. 3
  23. 1728
  24. 8
  25. 2744
  26. 125
  27. 64
  28. 2197
  29. 11
  30. 21
  31. 13
  32. 27
  33. 64
  34. 125
  35. 6
  36. 12
  37. 16
  38. 216
  39. 3375
  40. 125

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