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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 710 · 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 ∛8000? =
  2. 2.What is ∛343? =
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.What is 17³? =
  5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 216 (b) 295 (c) 258
  9. 9.Which of these is a perfect cube? (a) 3946 (b) 3375 (c) 3953
  10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  13. 13.What is 6³? =
  14. 14.What is ∛4913? =
  15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is 15³? =
  19. 19.What is 7³? =
  20. 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.What is 2³? =
  24. 24.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  25. 25.What is 16³? =
  26. 26.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  28. 28.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛9261? =
  31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  32. 32.Which of these is a perfect cube? (a) 1156 (b) 1063 (c) 1000
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛512? =
  35. 35.Which of these is a perfect cube? (a) 2681 (b) 2197 (c) 2401
  36. 36.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 130 (b) 125 (c) 135
  38. 38.What is 8³? =
  39. 39.What is ∛13824? =
  40. 40.What is the smallest whole number by which 81 must be divided to get a perfect cube?

Answer key

  1. 20
  2. 7
  3. 8
  4. 4913
  5. 19
  6. 3
  7. 8
  8. 216
  9. 3375
  10. 9
  11. 25
  12. 5
  13. 216
  14. 17
  15. 27
  16. 27
  17. 64
  18. 3375
  19. 343
  20. 10
  21. 216
  22. 64
  23. 8
  24. 3
  25. 4096
  26. 9
  27. 25
  28. 9
  29. 6
  30. 21
  31. 5
  32. 1000
  33. 8
  34. 8
  35. 2197
  36. 7
  37. 125
  38. 512
  39. 24
  40. 3

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