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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 151 · 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 the smallest whole number by which 6125 must be divided to get a perfect cube?
  2. 2.What is ∛512? =
  3. 3.What is 17³? =
  4. 4.What is ∛10648? =
  5. 5.What is ∛1000? =
  6. 6.Which of these is a perfect cube? (a) 2009 (b) 1728 (c) 1745
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is 5³? =
  9. 9.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is 4³? =
  11. 11.What is 18³? =
  12. 12.What is 2³? =
  13. 13.What is ∛12167? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 111 (b) 81 (c) 64
  17. 17.What is ∛8000? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 593 (b) 512 (c) 594
  22. 22.What is ∛5832? =
  23. 23.Which of these is a perfect cube? (a) 461 (b) 343 (c) 471
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  29. 29.What is 6³? =
  30. 30.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 170 (b) 125 (c) 129
  34. 34.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  35. 35.What is 3³? =
  36. 36.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  37. 37.What is 13³? =
  38. 38.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  39. 39.What is ∛4913? =
  40. 40.What is 7³? =

Answer key

  1. 49
  2. 8
  3. 4913
  4. 22
  5. 10
  6. 1728
  7. 3
  8. 125
  9. 8
  10. 64
  11. 5832
  12. 8
  13. 23
  14. 216
  15. 64
  16. 64
  17. 20
  18. 2
  19. 64
  20. 4
  21. 512
  22. 18
  23. 343
  24. 64
  25. 49
  26. 4
  27. 25
  28. 9
  29. 216
  30. 25
  31. 4
  32. 5
  33. 125
  34. 2
  35. 27
  36. 9
  37. 2197
  38. 7
  39. 17
  40. 343

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