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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 441 · 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 ∛2197? =
  2. 2.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  3. 3.What is 8³? =
  4. 4.What is ∛216? =
  5. 5.Which of these is a perfect cube? (a) 391 (b) 490 (c) 343
  6. 6.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  7. 7.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  8. 8.What is 19³? =
  9. 9.What is ∛1331? =
  10. 10.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  12. 12.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 64 (b) 79 (c) 73
  15. 15.What is 18³? =
  16. 16.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  17. 17.What is 5³? =
  18. 18.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 1362 (b) 1446 (c) 1331
  20. 20.What is ∛125? =
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is ∛64? =
  24. 24.What is ∛4913? =
  25. 25.What is ∛343? =
  26. 26.What is 10³? =
  27. 27.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 1000 (b) 1227 (c) 1044
  29. 29.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is 9³? =
  33. 33.What is ∛8? =
  34. 34.Which of these is a perfect cube? (a) 859 (b) 729 (c) 868
  35. 35.What is 12³? =
  36. 36.Which of these is a perfect cube? (a) 2110 (b) 2091 (c) 1728
  37. 37.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  39. 39.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect cube? (a) 125 (b) 146 (c) 182

Answer key

  1. 13
  2. 11
  3. 512
  4. 6
  5. 343
  6. 7
  7. 5
  8. 6859
  9. 11
  10. 27
  11. 9
  12. 7
  13. 15
  14. 64
  15. 5832
  16. 16
  17. 125
  18. 5
  19. 1331
  20. 5
  21. 8
  22. 27
  23. 4
  24. 17
  25. 7
  26. 1000
  27. 20
  28. 1000
  29. 2
  30. 4
  31. 64
  32. 729
  33. 2
  34. 729
  35. 1728
  36. 1728
  37. 216
  38. 25
  39. 10
  40. 125

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