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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 364 · 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 2 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  3. 3.What is 10³? =
  4. 4.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛125? =
  6. 6.What is ∛512? =
  7. 7.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  9. 9.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  11. 11.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 28 (b) 36 (c) 27
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  19. 19.What is 6³? =
  20. 20.Which of these is a perfect cube? (a) 3168 (b) 2755 (c) 2744
  21. 21.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛1728? =
  23. 23.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  24. 24.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  25. 25.What is 3³? =
  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 192 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  29. 29.What is ∛1331? =
  30. 30.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  31. 31.What is 9³? =
  32. 32.What is ∛13824? =
  33. 33.Which of these is a perfect cube? (a) 1331 (b) 1588 (c) 1434
  34. 34.What is ∛2197? =
  35. 35.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is ∛729? =
  37. 37.What is 20³? =
  38. 38.What is ∛10648? =
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛2744? =

Answer key

  1. 27
  2. 4
  3. 1000
  4. 125
  5. 5
  6. 8
  7. 125
  8. 7
  9. 2
  10. 4
  11. 11
  12. 6
  13. 27
  14. 216
  15. 16
  16. 27
  17. 8
  18. 3
  19. 216
  20. 2744
  21. 2
  22. 12
  23. 49
  24. 8
  25. 27
  26. 64
  27. 3
  28. 25
  29. 11
  30. 9
  31. 729
  32. 24
  33. 1331
  34. 13
  35. 125
  36. 9
  37. 8000
  38. 22
  39. 17
  40. 14

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