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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 823 · 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 216 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 512 (b) 552 (c) 699
  4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 1728 (b) 1838 (c) 1817
  6. 6.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  7. 7.What is ∛12167? =
  8. 8.What is 4³? =
  9. 9.Which of these is a perfect cube? (a) 2889 (b) 2744 (c) 2803
  10. 10.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  11. 11.What is 16³? =
  12. 12.What is ∛8? =
  13. 13.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 1015 (b) 1000 (c) 1048
  16. 16.What is ∛13824? =
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  19. 19.What is ∛125? =
  20. 20.Which of these is a perfect cube? (a) 126 (b) 125 (c) 159
  21. 21.Which of these is a perfect cube? (a) 2363 (b) 2197 (c) 2601
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 965 (b) 729 (c) 767
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛4096? =
  26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 284 (b) 216 (c) 218
  28. 28.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛1331? =
  30. 30.What is 7³? =
  31. 31.What is 12³? =
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is 3³? =
  34. 34.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1383 (b) 1331 (c) 1531
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛64? =
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 1125 must be divided to get a perfect cube?

Answer key

  1. 6
  2. 18
  3. 512
  4. 216
  5. 1728
  6. 4
  7. 23
  8. 64
  9. 2744
  10. 2
  11. 4096
  12. 2
  13. 5
  14. 4
  15. 1000
  16. 24
  17. 8
  18. 7
  19. 5
  20. 125
  21. 2197
  22. 64
  23. 729
  24. 27
  25. 16
  26. 11
  27. 216
  28. 15
  29. 11
  30. 343
  31. 1728
  32. 64
  33. 27
  34. 49
  35. 5
  36. 1331
  37. 19
  38. 4
  39. 27
  40. 9

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