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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 196 · 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 8³? =
  2. 2.Which of these is a perfect cube? (a) 1728 (b) 1900 (c) 2031
  3. 3.What is 3³? =
  4. 4.Which of these is a perfect cube? (a) 147 (b) 125 (c) 133
  5. 5.What is 5³? =
  6. 6.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  7. 7.What is 12³? =
  8. 8.What is ∛10648? =
  9. 9.Which of these is a perfect cube? (a) 3104 (b) 2744 (c) 3297
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  15. 15.What is ∛343? =
  16. 16.What is ∛512? =
  17. 17.What is 15³? =
  18. 18.What is 16³? =
  19. 19.What is ∛3375? =
  20. 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 9 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 big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  27. 27.What is ∛4096? =
  28. 28.Which of these is a perfect cube? (a) 741 (b) 956 (c) 729
  29. 29.What is ∛9261? =
  30. 30.What is 18³? =
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  33. 33.What is 19³? =
  34. 34.Which of these is a perfect cube? (a) 547 (b) 512 (c) 698
  35. 35.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is ∛2744? =
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 2313 (b) 2539 (c) 2197
  39. 39.What is 2³? =
  40. 40.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 512
  2. 1728
  3. 27
  4. 125
  5. 125
  6. 49
  7. 1728
  8. 22
  9. 2744
  10. 27
  11. 18
  12. 27
  13. 3
  14. 7
  15. 7
  16. 8
  17. 3375
  18. 4096
  19. 15
  20. 8
  21. 9
  22. 3
  23. 19
  24. 125
  25. 10
  26. 2
  27. 16
  28. 729
  29. 21
  30. 5832
  31. 64
  32. 3
  33. 6859
  34. 512
  35. 216
  36. 14
  37. 64
  38. 2197
  39. 8
  40. 125

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