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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 557 · 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 big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.What is 14³? =
  4. 4.What is 3³? =
  5. 5.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛64? =
  7. 7.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛1000? =
  9. 9.What is ∛1728? =
  10. 10.What is ∛343? =
  11. 11.Which of these is a perfect cube? (a) 3375 (b) 3644 (c) 3833
  12. 12.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  13. 13.What is 11³? =
  14. 14.What is 20³? =
  15. 15.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is ∛2197? =
  17. 17.Which of these is a perfect cube? (a) 1728 (b) 1752 (c) 1904
  18. 18.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  22. 22.A big cube of edge 4 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) 47 (b) 33 (c) 27
  24. 24.What is ∛15625? =
  25. 25.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 101 (b) 91 (c) 64
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is 19³? =
  29. 29.What is 16³? =
  30. 30.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  31. 31.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is 8³? =
  36. 36.Which of these is a perfect cube? (a) 578 (b) 512 (c) 669
  37. 37.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 2197 (b) 2405 (c) 2438
  39. 39.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 216
  2. 3
  3. 2744
  4. 27
  5. 19
  6. 4
  7. 6
  8. 10
  9. 12
  10. 7
  11. 3375
  12. 5
  13. 1331
  14. 8000
  15. 27
  16. 13
  17. 1728
  18. 64
  19. 2
  20. 2
  21. 2
  22. 8
  23. 27
  24. 25
  25. 25
  26. 64
  27. 64
  28. 6859
  29. 4096
  30. 4
  31. 125
  32. 14
  33. 64
  34. 8
  35. 512
  36. 512
  37. 27
  38. 2197
  39. 8
  40. 216

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