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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 427 · 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.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 96 (b) 89 (c) 64
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 17³? =
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛27? =
  11. 11.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 420 (b) 343 (c) 353
  13. 13.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  14. 14.What is 5³? =
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.What is 13³? =
  17. 17.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛2744? =
  19. 19.Which of these is a perfect cube? (a) 648 (b) 512 (c) 540
  20. 20.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 2408 (b) 2289 (c) 2197
  23. 23.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  24. 24.What is ∛729? =
  25. 25.Which of these is a perfect cube? (a) 3112 (b) 3018 (c) 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.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  28. 28.What is 10³? =
  29. 29.What is ∛9261? =
  30. 30.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛3375? =
  33. 33.Which of these is a perfect cube? (a) 28 (b) 40 (c) 27
  34. 34.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 928 (b) 939 (c) 729
  39. 39.What is ∛8000? =
  40. 40.What is 19³? =

Answer key

  1. 8
  2. 216
  3. 4
  4. 14
  5. 5
  6. 64
  7. 8
  8. 4913
  9. 27
  10. 3
  11. 2
  12. 343
  13. 25
  14. 125
  15. 4
  16. 2197
  17. 15
  18. 14
  19. 512
  20. 7
  21. 216
  22. 2197
  23. 49
  24. 9
  25. 2744
  26. 27
  27. 19
  28. 1000
  29. 21
  30. 4
  31. 64
  32. 15
  33. 27
  34. 25
  35. 49
  36. 16
  37. 49
  38. 729
  39. 20
  40. 6859

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