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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 539 · 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 big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 125 (b) 184 (c) 139
  3. 3.What is 9³? =
  4. 4.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛216? =
  6. 6.What is 3³? =
  7. 7.What is ∛12167? =
  8. 8.What is ∛1331? =
  9. 9.Which of these is a perfect cube? (a) 729 (b) 949 (c) 738
  10. 10.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  12. 12.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.What is ∛125? =
  14. 14.What is 4³? =
  15. 15.What is ∛9261? =
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.What is 19³? =
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  21. 21.What is 10³? =
  22. 22.What is 13³? =
  23. 23.Which of these is a perfect cube? (a) 1483 (b) 1470 (c) 1331
  24. 24.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛512? =
  27. 27.Which of these is a perfect cube? (a) 1189 (b) 1100 (c) 1000
  28. 28.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is 8³? =
  30. 30.What is ∛4913? =
  31. 31.What is ∛6859? =
  32. 32.What is ∛343? =
  33. 33.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  39. 39.What is 7³? =
  40. 40.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 216
  2. 125
  3. 729
  4. 5
  5. 6
  6. 27
  7. 23
  8. 11
  9. 729
  10. 17
  11. 9
  12. 125
  13. 5
  14. 64
  15. 21
  16. 2
  17. 6859
  18. 216
  19. 5
  20. 16
  21. 1000
  22. 2197
  23. 1331
  24. 3
  25. 19
  26. 8
  27. 1000
  28. 125
  29. 512
  30. 17
  31. 19
  32. 7
  33. 49
  34. 3
  35. 11
  36. 9
  37. 25
  38. 9
  39. 343
  40. 125

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