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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 461 · 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) 1215 (b) 1257 (c) 1000
  2. 2.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  3. 3.What is ∛8000? =
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛5832? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 11³? =
  8. 8.Which of these is a perfect cube? (a) 371 (b) 477 (c) 343
  9. 9.What is ∛1728? =
  10. 10.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  11. 11.What is 14³? =
  12. 12.Which of these is a perfect cube? (a) 1415 (b) 1331 (c) 1555
  13. 13.What is 5³? =
  14. 14.Which of these is a perfect cube? (a) 739 (b) 729 (c) 945
  15. 15.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛1331? =
  18. 18.What is 3³? =
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 1886 (b) 1929 (c) 1728
  21. 21.What is ∛3375? =
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is 6³? =
  24. 24.What is 17³? =
  25. 25.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 125 (b) 171 (c) 182
  28. 28.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 3042 (b) 2938 (c) 2744
  31. 31.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛8? =
  34. 34.What is 13³? =
  35. 35.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛2744? =

Answer key

  1. 1000
  2. 25
  3. 20
  4. 19
  5. 18
  6. 64
  7. 1331
  8. 343
  9. 12
  10. 25
  11. 2744
  12. 1331
  13. 125
  14. 729
  15. 64
  16. 3
  17. 11
  18. 27
  19. 8
  20. 1728
  21. 15
  22. 216
  23. 216
  24. 4913
  25. 13
  26. 9
  27. 125
  28. 12
  29. 11
  30. 2744
  31. 25
  32. 17
  33. 2
  34. 2197
  35. 125
  36. 4
  37. 5
  38. 3
  39. 125
  40. 14

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