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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 426 · 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 16³? =
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is 20³? =
  4. 4.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is ∛13824? =
  9. 9.What is ∛12167? =
  10. 10.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is 17³? =
  12. 12.What is 19³? =
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 1000 (b) 1244 (c) 1214
  16. 16.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  17. 17.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 76 (b) 78 (c) 64
  19. 19.What is ∛2744? =
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 613 (b) 512 (c) 625
  23. 23.A cube has a volume of 2197 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.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 729 (b) 948 (c) 932
  27. 27.What is ∛216? =
  28. 28.What is 4³? =
  29. 29.Which of these is a perfect cube? (a) 2293 (b) 2197 (c) 2668
  30. 30.What is ∛1331? =
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛10648? =
  35. 35.What is ∛64? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 3318 (b) 2791 (c) 2744
  39. 39.What is ∛125? =
  40. 40.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?

Answer key

  1. 4096
  2. 64
  3. 8000
  4. 18
  5. 9
  6. 9
  7. 8
  8. 24
  9. 23
  10. 8
  11. 4913
  12. 6859
  13. 6
  14. 25
  15. 1000
  16. 4
  17. 125
  18. 64
  19. 14
  20. 216
  21. 27
  22. 512
  23. 13
  24. 125
  25. 25
  26. 729
  27. 6
  28. 64
  29. 2197
  30. 11
  31. 125
  32. 4
  33. 15
  34. 22
  35. 4
  36. 64
  37. 5
  38. 2744
  39. 5
  40. 2

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