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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 759 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 43 (b) 42 (c) 27
  3. 3.What is 9³? =
  4. 4.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is 11³? =
  6. 6.Which of these is a perfect cube? (a) 3299 (b) 2744 (c) 3205
  7. 7.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  9. 9.What is ∛4913? =
  10. 10.Which of these is a perfect cube? (a) 91 (b) 64 (c) 98
  11. 11.What is 8³? =
  12. 12.What is 3³? =
  13. 13.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.What is 7³? =
  16. 16.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is 20³? =
  19. 19.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  22. 22.What is 18³? =
  23. 23.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is 10³? =
  25. 25.What is ∛2744? =
  26. 26.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  27. 27.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 562 (b) 512 (c) 665
  29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 271 (b) 309 (c) 216
  31. 31.What is ∛3375? =
  32. 32.Which of these is a perfect cube? (a) 355 (b) 467 (c) 343
  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.Which of these is a perfect cube? (a) 185 (b) 125 (c) 146
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.What is ∛512? =
  37. 37.What is ∛1000? =
  38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 11
  2. 27
  3. 729
  4. 125
  5. 1331
  6. 2744
  7. 125
  8. 9
  9. 17
  10. 64
  11. 512
  12. 27
  13. 2
  14. 2
  15. 343
  16. 13
  17. 64
  18. 8000
  19. 8
  20. 17
  21. 25
  22. 5832
  23. 8
  24. 1000
  25. 14
  26. 3
  27. 7
  28. 512
  29. 12
  30. 216
  31. 15
  32. 343
  33. 8
  34. 125
  35. 8
  36. 8
  37. 10
  38. 5
  39. 19
  40. 64

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