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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 854 · 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 27 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛64? =
  4. 4.What is 16³? =
  5. 5.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 2346 (b) 2197 (c) 2383
  7. 7.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  8. 8.What is ∛729? =
  9. 9.Which of these is a perfect cube? (a) 2979 (b) 2744 (c) 3132
  10. 10.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is ∛6859? =
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.What is 5³? =
  15. 15.Which of these is a perfect cube? (a) 904 (b) 729 (c) 761
  16. 16.Which of these is a perfect cube? (a) 1331 (b) 1500 (c) 1639
  17. 17.Which of these is a perfect cube? (a) 233 (b) 226 (c) 216
  18. 18.What is 2³? =
  19. 19.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  21. 21.What is 13³? =
  22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 41 (b) 34 (c) 27
  25. 25.What is ∛12167? =
  26. 26.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 1109 (b) 1291 (c) 1000
  28. 28.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  30. 30.What is 14³? =
  31. 31.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 461 (b) 359 (c) 343
  33. 33.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is ∛10648? =
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  37. 37.What is ∛8? =
  38. 38.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛1331? =
  40. 40.What is 20³? =

Answer key

  1. 3
  2. 17
  3. 4
  4. 4096
  5. 11
  6. 2197
  7. 9
  8. 9
  9. 2744
  10. 9
  11. 8
  12. 19
  13. 8
  14. 125
  15. 729
  16. 1331
  17. 216
  18. 8
  19. 9
  20. 3
  21. 2197
  22. 125
  23. 125
  24. 27
  25. 23
  26. 5
  27. 1000
  28. 64
  29. 7
  30. 2744
  31. 25
  32. 343
  33. 125
  34. 22
  35. 6
  36. 3
  37. 2
  38. 15
  39. 11
  40. 8000

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