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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 859 · 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 ∛2197? =
  2. 2.What is ∛9261? =
  3. 3.What is ∛1728? =
  4. 4.What is 15³? =
  5. 5.What is 11³? =
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.What is 5³? =
  8. 8.What is 14³? =
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 72 (b) 73 (c) 64
  12. 12.What is ∛1000? =
  13. 13.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  14. 14.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 131 (b) 186 (c) 125
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛8? =
  19. 19.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛27? =
  21. 21.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 861 (b) 759 (c) 729
  24. 24.What is ∛12167? =
  25. 25.What is 12³? =
  26. 26.Which of these is a perfect cube? (a) 549 (b) 512 (c) 693
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  32. 32.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛10648? =
  34. 34.Which of these is a perfect cube? (a) 3503 (b) 3943 (c) 3375
  35. 35.What is 10³? =
  36. 36.What is 18³? =
  37. 37.What is ∛13824? =
  38. 38.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  40. 40.What is ∛15625? =

Answer key

  1. 13
  2. 21
  3. 12
  4. 3375
  5. 1331
  6. 16
  7. 125
  8. 2744
  9. 216
  10. 5
  11. 64
  12. 10
  13. 4
  14. 8
  15. 125
  16. 27
  17. 10
  18. 2
  19. 14
  20. 3
  21. 3
  22. 216
  23. 729
  24. 23
  25. 1728
  26. 512
  27. 7
  28. 64
  29. 3
  30. 20
  31. 2
  32. 27
  33. 22
  34. 3375
  35. 1000
  36. 5832
  37. 24
  38. 64
  39. 5
  40. 25

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