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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 340 · 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.Which of these is a perfect cube? (a) 189 (b) 125 (c) 126
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛64? =
  6. 6.What is ∛13824? =
  7. 7.Which of these is a perfect cube? (a) 2744 (b) 2818 (c) 2968
  8. 8.Which of these is a perfect cube? (a) 3562 (b) 3402 (c) 3375
  9. 9.What is 13³? =
  10. 10.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 46 (b) 27 (c) 41
  15. 15.What is 12³? =
  16. 16.What is ∛512? =
  17. 17.What is 20³? =
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛1331? =
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is ∛4913? =
  22. 22.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 1728 (b) 2133 (c) 2040
  27. 27.Which of these is a perfect cube? (a) 77 (b) 64 (c) 104
  28. 28.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  29. 29.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.What is ∛15625? =
  31. 31.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is 16³? =
  34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛10648? =
  36. 36.What is 15³? =
  37. 37.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  38. 38.What is 7³? =
  39. 39.Which of these is a perfect cube? (a) 512 (b) 700 (c) 577
  40. 40.What is ∛6859? =

Answer key

  1. 125
  2. 8
  3. 10
  4. 125
  5. 4
  6. 24
  7. 2744
  8. 3375
  9. 2197
  10. 125
  11. 4
  12. 5
  13. 3
  14. 27
  15. 1728
  16. 8
  17. 8000
  18. 8
  19. 11
  20. 27
  21. 17
  22. 25
  23. 16
  24. 6
  25. 64
  26. 1728
  27. 64
  28. 3
  29. 216
  30. 25
  31. 3
  32. 64
  33. 4096
  34. 8
  35. 22
  36. 3375
  37. 13
  38. 343
  39. 512
  40. 19

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