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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 194 · 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) 3147 (b) 3013 (c) 2744
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is 2³? =
  7. 7.What is ∛1331? =
  8. 8.Which of these is a perfect cube? (a) 1069 (b) 1197 (c) 1000
  9. 9.What is 10³? =
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is ∛343? =
  13. 13.Which of these is a perfect cube? (a) 2379 (b) 2197 (c) 2365
  14. 14.What is ∛64? =
  15. 15.What is ∛8? =
  16. 16.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is 17³? =
  19. 19.Which of these is a perfect cube? (a) 28 (b) 27 (c) 44
  20. 20.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  21. 21.What is 7³? =
  22. 22.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 133 (b) 125 (c) 190
  25. 25.What is ∛2744? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is ∛1000? =
  28. 28.What is ∛729? =
  29. 29.What is ∛3375? =
  30. 30.What is 13³? =
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is 16³? =
  34. 34.What is 5³? =
  35. 35.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  39. 39.What is ∛9261? =
  40. 40.Which of these is a perfect cube? (a) 71 (b) 93 (c) 64

Answer key

  1. 2744
  2. 2
  3. 64
  4. 16
  5. 8
  6. 8
  7. 11
  8. 1000
  9. 1000
  10. 4
  11. 216
  12. 7
  13. 2197
  14. 4
  15. 2
  16. 125
  17. 216
  18. 4913
  19. 27
  20. 9
  21. 343
  22. 13
  23. 5
  24. 125
  25. 14
  26. 27
  27. 10
  28. 9
  29. 15
  30. 2197
  31. 17
  32. 125
  33. 4096
  34. 125
  35. 4
  36. 216
  37. 64
  38. 7
  39. 21
  40. 64

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