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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 128 · 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 1000 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is ∛5832? =
  5. 5.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is ∛13824? =
  8. 8.Which of these is a perfect cube? (a) 319 (b) 310 (c) 216
  9. 9.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  10. 10.What is 9³? =
  11. 11.What is 7³? =
  12. 12.What is ∛64? =
  13. 13.Which of these is a perfect cube? (a) 1000 (b) 1261 (c) 1200
  14. 14.What is 14³? =
  15. 15.What is ∛12167? =
  16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is 3³? =
  20. 20.Which of these is a perfect cube? (a) 3176 (b) 3325 (c) 2744
  21. 21.Which of these is a perfect cube? (a) 27 (b) 29 (c) 53
  22. 22.What is 12³? =
  23. 23.What is ∛10648? =
  24. 24.Which of these is a perfect cube? (a) 2200 (b) 2197 (c) 2646
  25. 25.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛8000? =
  29. 29.What is ∛15625? =
  30. 30.Which of these is a perfect cube? (a) 64 (b) 66 (c) 95
  31. 31.What is 10³? =
  32. 32.Which of these is a perfect cube? (a) 2005 (b) 1825 (c) 1728
  33. 33.Which of these is a perfect cube? (a) 343 (b) 440 (c) 346
  34. 34.What is 19³? =
  35. 35.Which of these is a perfect cube? (a) 134 (b) 198 (c) 125
  36. 36.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  37. 37.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  38. 38.What is ∛1331? =
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 16³? =

Answer key

  1. 10
  2. 5
  3. 64
  4. 18
  5. 125
  6. 27
  7. 24
  8. 216
  9. 12
  10. 729
  11. 343
  12. 4
  13. 1000
  14. 2744
  15. 23
  16. 216
  17. 11
  18. 8
  19. 27
  20. 2744
  21. 27
  22. 1728
  23. 22
  24. 2197
  25. 27
  26. 13
  27. 216
  28. 20
  29. 25
  30. 64
  31. 1000
  32. 1728
  33. 343
  34. 6859
  35. 125
  36. 16
  37. 49
  38. 11
  39. 125
  40. 4096

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