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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 1 · 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 4096 cubic cm. How long is each edge (in cm)?
  2. 2.What is 20³? =
  3. 3.What is ∛8000? =
  4. 4.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 2849 (b) 2744 (c) 3152
  6. 6.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  7. 7.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is ∛2197? =
  9. 9.Which of these is a perfect cube? (a) 100 (b) 111 (c) 64
  10. 10.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is 4³? =
  13. 13.Which of these is a perfect cube? (a) 1981 (b) 1961 (c) 1728
  14. 14.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  15. 15.What is ∛9261? =
  16. 16.What is 13³? =
  17. 17.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  19. 19.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛4096? =
  26. 26.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is 19³? =
  29. 29.What is ∛1000? =
  30. 30.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  31. 31.What is 5³? =
  32. 32.What is 6³? =
  33. 33.What is ∛5832? =
  34. 34.What is ∛10648? =
  35. 35.What is 2³? =
  36. 36.What is ∛4913? =
  37. 37.What is 12³? =
  38. 38.What is 11³? =
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is ∛27? =

Answer key

  1. 16
  2. 8000
  3. 20
  4. 7
  5. 2744
  6. 7
  7. 125
  8. 13
  9. 64
  10. 2
  11. 216
  12. 64
  13. 1728
  14. 3
  15. 21
  16. 2197
  17. 4
  18. 8
  19. 11
  20. 19
  21. 14
  22. 27
  23. 27
  24. 125
  25. 16
  26. 49
  27. 8
  28. 6859
  29. 10
  30. 5
  31. 125
  32. 216
  33. 18
  34. 22
  35. 8
  36. 17
  37. 1728
  38. 1331
  39. 8
  40. 3

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