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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 64 · 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 cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 512 (b) 617 (c) 636
  4. 4.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is 7³? =
  7. 7.Which of these is a perfect cube? (a) 1001 (b) 1000 (c) 1243
  8. 8.Which of these is a perfect cube? (a) 3452 (b) 3375 (c) 3455
  9. 9.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  10. 10.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  11. 11.What is 5³? =
  12. 12.What is 3³? =
  13. 13.What is 18³? =
  14. 14.What is ∛216? =
  15. 15.Which of these is a perfect cube? (a) 248 (b) 321 (c) 216
  16. 16.Which of these is a perfect cube? (a) 1728 (b) 2032 (c) 1827
  17. 17.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  18. 18.What is 2³? =
  19. 19.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 2685 (b) 2322 (c) 2197
  24. 24.What is ∛343? =
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 933 (b) 941 (c) 729
  27. 27.What is ∛6859? =
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.What is 4³? =
  30. 30.Which of these is a perfect cube? (a) 27 (b) 28 (c) 35
  31. 31.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛4913? =
  33. 33.What is ∛3375? =
  34. 34.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is ∛13824? =
  36. 36.What is ∛1728? =
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  40. 40.What is 8³? =

Answer key

  1. 13
  2. 2
  3. 512
  4. 12
  5. 64
  6. 343
  7. 1000
  8. 3375
  9. 4
  10. 2
  11. 125
  12. 27
  13. 5832
  14. 6
  15. 216
  16. 1728
  17. 5
  18. 8
  19. 7
  20. 7
  21. 216
  22. 25
  23. 2197
  24. 7
  25. 216
  26. 729
  27. 19
  28. 3
  29. 64
  30. 27
  31. 5
  32. 17
  33. 15
  34. 125
  35. 24
  36. 12
  37. 8
  38. 125
  39. 49
  40. 512

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