← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 667 · 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 5³? =
  2. 2.What is 8³? =
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.What is ∛4913? =
  5. 5.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.What is 13³? =
  12. 12.What is ∛216? =
  13. 13.What is 18³? =
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.What is 16³? =
  18. 18.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.What is ∛2744? =
  20. 20.What is ∛12167? =
  21. 21.What is 14³? =
  22. 22.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  24. 24.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 817 (b) 837 (c) 729
  27. 27.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 2744 (b) 3204 (c) 3092
  29. 29.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  30. 30.What is 11³? =
  31. 31.What is ∛343? =
  32. 32.What is 3³? =
  33. 33.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛1728? =
  35. 35.What is 20³? =
  36. 36.What is 10³? =
  37. 37.Which of these is a perfect cube? (a) 633 (b) 512 (c) 525
  38. 38.What is ∛27? =
  39. 39.What is ∛5832? =
  40. 40.What is ∛64? =

Answer key

  1. 125
  2. 512
  3. 64
  4. 17
  5. 216
  6. 216
  7. 15
  8. 8
  9. 9
  10. 5
  11. 2197
  12. 6
  13. 5832
  14. 7
  15. 6
  16. 19
  17. 4096
  18. 27
  19. 14
  20. 23
  21. 2744
  22. 2
  23. 5
  24. 4
  25. 9
  26. 729
  27. 25
  28. 2744
  29. 2
  30. 1331
  31. 7
  32. 27
  33. 12
  34. 12
  35. 8000
  36. 1000
  37. 512
  38. 3
  39. 18
  40. 4

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