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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 165 · 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.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 103 (b) 64 (c) 87
  3. 3.What is ∛64? =
  4. 4.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 421 (b) 358 (c) 343
  6. 6.What is ∛4913? =
  7. 7.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛343? =
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.What is 18³? =
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  15. 15.What is 6³? =
  16. 16.What is 10³? =
  17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛9261? =
  19. 19.What is ∛5832? =
  20. 20.Which of these is a perfect cube? (a) 1022 (b) 1148 (c) 1000
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 278 (b) 244 (c) 216
  23. 23.What is 2³? =
  24. 24.What is ∛1331? =
  25. 25.What is 13³? =
  26. 26.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  27. 27.What is ∛2744? =
  28. 28.What is ∛8? =
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is 14³? =
  31. 31.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  32. 32.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is 4³? =
  34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  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.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 962 (b) 770 (c) 729
  39. 39.What is 11³? =
  40. 40.What is ∛12167? =

Answer key

  1. 16
  2. 64
  3. 4
  4. 9
  5. 343
  6. 17
  7. 2
  8. 64
  9. 27
  10. 7
  11. 8
  12. 5832
  13. 20
  14. 7
  15. 216
  16. 1000
  17. 4
  18. 21
  19. 18
  20. 1000
  21. 10
  22. 216
  23. 8
  24. 11
  25. 2197
  26. 2
  27. 14
  28. 2
  29. 14
  30. 2744
  31. 4
  32. 125
  33. 64
  34. 5
  35. 216
  36. 343
  37. 125
  38. 729
  39. 1331
  40. 23

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