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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 608 · 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 125 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛8? =
  3. 3.Which of these is a perfect cube? (a) 2770 (b) 2744 (c) 2763
  4. 4.What is ∛10648? =
  5. 5.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 11³? =
  8. 8.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is 3³? =
  10. 10.What is 2³? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛13824? =
  14. 14.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 1895 (b) 1728 (c) 2143
  16. 16.What is 16³? =
  17. 17.What is 13³? =
  18. 18.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 552 (b) 580 (c) 512
  21. 21.What is 7³? =
  22. 22.What is 12³? =
  23. 23.What is ∛5832? =
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is 8³? =
  26. 26.What is ∛15625? =
  27. 27.What is ∛64? =
  28. 28.Which of these is a perfect cube? (a) 33 (b) 48 (c) 27
  29. 29.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 729 (b) 965 (c) 825
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is 6³? =
  33. 33.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  34. 34.What is 19³? =
  35. 35.What is ∛343? =
  36. 36.What is ∛1331? =
  37. 37.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 17³? =
  40. 40.What is ∛1728? =

Answer key

  1. 5
  2. 2
  3. 2744
  4. 22
  5. 64
  6. 8
  7. 1331
  8. 216
  9. 27
  10. 8
  11. 216
  12. 12
  13. 24
  14. 9
  15. 1728
  16. 4096
  17. 2197
  18. 10
  19. 13
  20. 512
  21. 343
  22. 1728
  23. 18
  24. 27
  25. 512
  26. 25
  27. 4
  28. 27
  29. 4
  30. 729
  31. 8
  32. 216
  33. 19
  34. 6859
  35. 7
  36. 11
  37. 25
  38. 125
  39. 4913
  40. 12

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