← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 843 · 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 ∛9261? =
  2. 2.Which of these is a perfect cube? (a) 473 (b) 451 (c) 343
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is 17³? =
  5. 5.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 542 (b) 525 (c) 512
  8. 8.What is ∛4096? =
  9. 9.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 3620 (b) 3903 (c) 3375
  11. 11.Which of these is a perfect cube? (a) 914 (b) 729 (c) 906
  12. 12.What is 6³? =
  13. 13.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 102 (b) 71 (c) 64
  17. 17.What is 3³? =
  18. 18.What is ∛343? =
  19. 19.What is ∛1728? =
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛4913? =
  22. 22.Which of these is a perfect cube? (a) 3239 (b) 3309 (c) 2744
  23. 23.What is ∛3375? =
  24. 24.What is ∛6859? =
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 5³? =
  29. 29.What is 18³? =
  30. 30.What is ∛216? =
  31. 31.What is ∛512? =
  32. 32.What is ∛15625? =
  33. 33.What is 12³? =
  34. 34.What is ∛8000? =
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  37. 37.What is 9³? =
  38. 38.Which of these is a perfect cube? (a) 127 (b) 125 (c) 191
  39. 39.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 5 must be divided to get a perfect cube?

Answer key

  1. 21
  2. 343
  3. 6
  4. 4913
  5. 3
  6. 216
  7. 512
  8. 16
  9. 7
  10. 3375
  11. 729
  12. 216
  13. 5
  14. 64
  15. 7
  16. 64
  17. 27
  18. 7
  19. 12
  20. 19
  21. 17
  22. 2744
  23. 15
  24. 19
  25. 8
  26. 27
  27. 216
  28. 125
  29. 5832
  30. 6
  31. 8
  32. 25
  33. 1728
  34. 20
  35. 4
  36. 10
  37. 729
  38. 125
  39. 2
  40. 5

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets