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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 188 · 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.What is 16³? =
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 169 (b) 165 (c) 125
  4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  6. 6.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  7. 7.What is ∛729? =
  8. 8.What is 19³? =
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  14. 14.What is 12³? =
  15. 15.Which of these is a perfect cube? (a) 660 (b) 652 (c) 512
  16. 16.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 217 (b) 323 (c) 216
  19. 19.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛2197? =
  21. 21.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 110 (b) 64 (c) 77
  23. 23.What is ∛10648? =
  24. 24.What is 15³? =
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  28. 28.What is 9³? =
  29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛4096? =
  31. 31.What is 14³? =
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛4913? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.What is ∛343? =
  36. 36.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is 8³? =
  38. 38.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  39. 39.What is 20³? =
  40. 40.Which of these is a perfect cube? (a) 1871 (b) 1728 (c) 1826

Answer key

  1. 4096
  2. 3
  3. 125
  4. 64
  5. 3
  6. 5
  7. 9
  8. 6859
  9. 8
  10. 6
  11. 125
  12. 7
  13. 9
  14. 1728
  15. 512
  16. 3
  17. 8
  18. 216
  19. 17
  20. 13
  21. 25
  22. 64
  23. 22
  24. 3375
  25. 27
  26. 49
  27. 2
  28. 729
  29. 15
  30. 16
  31. 2744
  32. 8
  33. 17
  34. 64
  35. 7
  36. 27
  37. 512
  38. 4
  39. 8000
  40. 1728

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