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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 132 · 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 ∛1331? =
  2. 2.What is ∛8? =
  3. 3.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 50 (b) 27 (c) 35
  8. 8.What is 14³? =
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛1728? =
  11. 11.Which of these is a perfect cube? (a) 249 (b) 216 (c) 321
  12. 12.What is ∛8000? =
  13. 13.What is 3³? =
  14. 14.What is ∛1000? =
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is 6³? =
  17. 17.What is ∛2744? =
  18. 18.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  22. 22.What is 4³? =
  23. 23.What is ∛216? =
  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.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 1070 (b) 1252 (c) 1000
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  29. 29.What is ∛64? =
  30. 30.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  31. 31.What is 20³? =
  32. 32.What is ∛27? =
  33. 33.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  34. 34.What is 15³? =
  35. 35.Which of these is a perfect cube? (a) 2575 (b) 2197 (c) 2514
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 3375 (b) 3813 (c) 3559
  39. 39.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 11
  2. 2
  3. 4
  4. 19
  5. 5
  6. 8
  7. 27
  8. 2744
  9. 17
  10. 12
  11. 216
  12. 20
  13. 27
  14. 10
  15. 64
  16. 216
  17. 14
  18. 5
  19. 8
  20. 216
  21. 16
  22. 64
  23. 6
  24. 125
  25. 8
  26. 1000
  27. 27
  28. 7
  29. 4
  30. 25
  31. 8000
  32. 3
  33. 2
  34. 3375
  35. 2197
  36. 216
  37. 9
  38. 3375
  39. 2
  40. 6

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