← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 349 · 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 125 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 95 (b) 66 (c) 64
  3. 3.What is 5³? =
  4. 4.Which of these is a perfect cube? (a) 27 (b) 52 (c) 44
  5. 5.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  6. 6.What is ∛12167? =
  7. 7.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛2744? =
  9. 9.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  10. 10.What is 12³? =
  11. 11.What is ∛4913? =
  12. 12.Which of these is a perfect cube? (a) 1236 (b) 1000 (c) 1001
  13. 13.What is 2³? =
  14. 14.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  15. 15.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is ∛2197? =
  17. 17.What is ∛10648? =
  18. 18.What is 15³? =
  19. 19.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  21. 21.What is 13³? =
  22. 22.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is ∛8? =
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  29. 29.What is 16³? =
  30. 30.What is ∛343? =
  31. 31.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 230 (b) 305 (c) 216
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  35. 35.What is ∛125? =
  36. 36.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  39. 39.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.What is 8³? =

Answer key

  1. 5
  2. 64
  3. 125
  4. 27
  5. 9
  6. 23
  7. 4
  8. 14
  9. 49
  10. 1728
  11. 17
  12. 1000
  13. 8
  14. 9
  15. 8
  16. 13
  17. 22
  18. 3375
  19. 5
  20. 4
  21. 2197
  22. 125
  23. 2
  24. 216
  25. 7
  26. 19
  27. 13
  28. 25
  29. 4096
  30. 7
  31. 2
  32. 216
  33. 16
  34. 2
  35. 5
  36. 5
  37. 27
  38. 3
  39. 8
  40. 512

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