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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 6 · 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 625 must be divided to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 246 (b) 244 (c) 216
  3. 3.What is 6³? =
  4. 4.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  5. 5.What is 3³? =
  6. 6.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 3672 (b) 3837 (c) 3375
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  10. 10.What is ∛4913? =
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is ∛512? =
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is 14³? =
  17. 17.What is 4³? =
  18. 18.What is 9³? =
  19. 19.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  20. 20.What is ∛1000? =
  21. 21.Which of these is a perfect cube? (a) 729 (b) 926 (c) 756
  22. 22.What is 18³? =
  23. 23.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  24. 24.What is ∛216? =
  25. 25.A big cube of edge 5 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) 2361 (b) 2620 (c) 2197
  27. 27.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  28. 28.Which of these is a perfect cube? (a) 3269 (b) 3137 (c) 2744
  29. 29.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  30. 30.What is ∛2197? =
  31. 31.What is ∛8000? =
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛6859? =
  34. 34.Which of these is a perfect cube? (a) 1931 (b) 1728 (c) 1755
  35. 35.Which of these is a perfect cube? (a) 125 (b) 159 (c) 147
  36. 36.What is 5³? =
  37. 37.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  38. 38.What is ∛4096? =
  39. 39.What is 2³? =
  40. 40.Which of these is a perfect cube? (a) 53 (b) 27 (c) 39

Answer key

  1. 5
  2. 216
  3. 216
  4. 7
  5. 27
  6. 125
  7. 3375
  8. 27
  9. 2
  10. 17
  11. 216
  12. 125
  13. 8
  14. 8
  15. 2
  16. 2744
  17. 64
  18. 729
  19. 49
  20. 10
  21. 729
  22. 5832
  23. 7
  24. 6
  25. 125
  26. 2197
  27. 15
  28. 2744
  29. 25
  30. 13
  31. 20
  32. 20
  33. 19
  34. 1728
  35. 125
  36. 125
  37. 7
  38. 16
  39. 8
  40. 27

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