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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 442 · 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 6859 cubic cm. How long is each edge (in cm)?
  2. 2.What is 4³? =
  3. 3.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  4. 4.What is 13³? =
  5. 5.Which of these is a perfect cube? (a) 216 (b) 222 (c) 238
  6. 6.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 968 (b) 729 (c) 750
  8. 8.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is ∛13824? =
  10. 10.What is 2³? =
  11. 11.Which of these is a perfect cube? (a) 172 (b) 125 (c) 126
  12. 12.What is 3³? =
  13. 13.Which of these is a perfect cube? (a) 105 (b) 66 (c) 64
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 42 (b) 33 (c) 27
  16. 16.What is ∛216? =
  17. 17.Which of these is a perfect cube? (a) 3217 (b) 3297 (c) 2744
  18. 18.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  19. 19.What is 5³? =
  20. 20.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  23. 23.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛2744? =
  26. 26.What is ∛729? =
  27. 27.What is 16³? =
  28. 28.What is ∛15625? =
  29. 29.What is ∛4096? =
  30. 30.What is 20³? =
  31. 31.What is 18³? =
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛1728? =
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  37. 37.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 1011 (b) 1032 (c) 1000
  39. 39.What is 7³? =
  40. 40.What is ∛1000? =

Answer key

  1. 19
  2. 64
  3. 11
  4. 2197
  5. 216
  6. 25
  7. 729
  8. 125
  9. 24
  10. 8
  11. 125
  12. 27
  13. 64
  14. 2
  15. 27
  16. 6
  17. 2744
  18. 9
  19. 125
  20. 5
  21. 2
  22. 2
  23. 8
  24. 15
  25. 14
  26. 9
  27. 4096
  28. 25
  29. 16
  30. 8000
  31. 5832
  32. 64
  33. 6
  34. 12
  35. 17
  36. 9
  37. 7
  38. 1000
  39. 343
  40. 10

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