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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 57 · 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.What is 3³? =
  2. 2.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 2839 (b) 2744 (c) 3141
  6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 2595 (b) 2197 (c) 2607
  8. 8.What is ∛216? =
  9. 9.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 547 (b) 512 (c) 580
  11. 11.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  12. 12.What is ∛10648? =
  13. 13.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  16. 16.What is ∛5832? =
  17. 17.Which of these is a perfect cube? (a) 848 (b) 870 (c) 729
  18. 18.What is ∛343? =
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 3375 (b) 3642 (c) 3393
  21. 21.What is 7³? =
  22. 22.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 52 (b) 27 (c) 35
  26. 26.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛12167? =
  29. 29.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  30. 30.What is 2³? =
  31. 31.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  34. 34.What is ∛4096? =
  35. 35.Which of these is a perfect cube? (a) 112 (b) 102 (c) 64
  36. 36.What is ∛9261? =
  37. 37.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  38. 38.What is 9³? =
  39. 39.What is 13³? =
  40. 40.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?

Answer key

  1. 27
  2. 11
  3. 125
  4. 8
  5. 2744
  6. 7
  7. 2197
  8. 6
  9. 27
  10. 512
  11. 49
  12. 22
  13. 5
  14. 8
  15. 49
  16. 18
  17. 729
  18. 7
  19. 64
  20. 3375
  21. 343
  22. 25
  23. 19
  24. 17
  25. 27
  26. 7
  27. 8
  28. 23
  29. 4
  30. 8
  31. 7
  32. 20
  33. 25
  34. 16
  35. 64
  36. 21
  37. 10
  38. 729
  39. 2197
  40. 12

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