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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 523 · 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 3375 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.What is 13³? =
  4. 4.What is ∛216? =
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛1331? =
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 3977 (b) 3542 (c) 3375
  9. 9.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛64? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 39 (b) 40 (c) 27
  13. 13.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.What is 10³? =
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 1000 (b) 1166 (c) 1074
  18. 18.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛4913? =
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.What is 14³? =
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  28. 28.What is ∛6859? =
  29. 29.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 1654 (b) 1331 (c) 1633
  31. 31.What is 17³? =
  32. 32.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  33. 33.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is 15³? =
  39. 39.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  40. 40.What is ∛5832? =

Answer key

  1. 15
  2. 2
  3. 2197
  4. 6
  5. 4
  6. 11
  7. 64
  8. 3375
  9. 16
  10. 4
  11. 64
  12. 27
  13. 18
  14. 27
  15. 1000
  16. 8
  17. 1000
  18. 3
  19. 2
  20. 19
  21. 7
  22. 27
  23. 17
  24. 6
  25. 2744
  26. 10
  27. 9
  28. 19
  29. 2
  30. 1331
  31. 4913
  32. 5
  33. 49
  34. 11
  35. 9
  36. 13
  37. 27
  38. 3375
  39. 5
  40. 18

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