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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 184 · 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 the smallest whole number by which 7 must be multiplied to get a perfect cube?
  2. 2.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛125? =
  5. 5.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is 11³? =
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is ∛2197? =
  9. 9.Which of these is a perfect cube? (a) 2030 (b) 1795 (c) 1728
  10. 10.What is ∛3375? =
  11. 11.What is ∛5832? =
  12. 12.What is 14³? =
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 1551 (b) 1527 (c) 1331
  15. 15.What is 15³? =
  16. 16.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 419 (b) 460 (c) 343
  18. 18.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is ∛8? =
  21. 21.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.What is 6³? =
  25. 25.What is 4³? =
  26. 26.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  28. 28.What is 9³? =
  29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is ∛64? =
  32. 32.Which of these is a perfect cube? (a) 68 (b) 64 (c) 106
  33. 33.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.Which of these is a perfect cube? (a) 216 (b) 239 (c) 274
  36. 36.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is 19³? =
  38. 38.Which of these is a perfect cube? (a) 48 (b) 27 (c) 28
  39. 39.What is ∛4913? =
  40. 40.What is ∛1331? =

Answer key

  1. 49
  2. 4
  3. 18
  4. 5
  5. 27
  6. 1331
  7. 8
  8. 13
  9. 1728
  10. 15
  11. 18
  12. 2744
  13. 17
  14. 1331
  15. 3375
  16. 5
  17. 343
  18. 2
  19. 125
  20. 2
  21. 5
  22. 216
  23. 8
  24. 216
  25. 64
  26. 64
  27. 2
  28. 729
  29. 20
  30. 216
  31. 4
  32. 64
  33. 5
  34. 125
  35. 216
  36. 64
  37. 6859
  38. 27
  39. 17
  40. 11

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