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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 300 · 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.Which of these is a perfect cube? (a) 364 (b) 356 (c) 343
  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) 2001 (b) 1853 (c) 1728
  4. 4.What is 2³? =
  5. 5.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛8? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is ∛343? =
  9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛1728? =
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  13. 13.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 1189 (b) 1000 (c) 1202
  17. 17.What is 6³? =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛5832? =
  20. 20.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 801 (b) 857 (c) 729
  22. 22.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  23. 23.What is 7³? =
  24. 24.What is 16³? =
  25. 25.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is ∛64? =
  30. 30.Which of these is a perfect cube? (a) 563 (b) 512 (c) 613
  31. 31.What is 20³? =
  32. 32.What is ∛2744? =
  33. 33.Which of these is a perfect cube? (a) 2869 (b) 2900 (c) 2744
  34. 34.What is 4³? =
  35. 35.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛1331? =
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 10³? =
  39. 39.What is ∛27? =
  40. 40.Which of these is a perfect cube? (a) 64 (b) 69 (c) 89

Answer key

  1. 343
  2. 18
  3. 1728
  4. 8
  5. 125
  6. 2
  7. 64
  8. 7
  9. 7
  10. 12
  11. 27
  12. 2
  13. 49
  14. 64
  15. 25
  16. 1000
  17. 216
  18. 8
  19. 18
  20. 7
  21. 729
  22. 12
  23. 343
  24. 4096
  25. 10
  26. 11
  27. 64
  28. 216
  29. 4
  30. 512
  31. 8000
  32. 14
  33. 2744
  34. 64
  35. 13
  36. 11
  37. 216
  38. 1000
  39. 3
  40. 64

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