← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 476 · 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 135 must be divided to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 31 (b) 27 (c) 38
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is 4³? =
  5. 5.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  6. 6.What is 3³? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛2197? =
  9. 9.What is ∛4913? =
  10. 10.What is 8³? =
  11. 11.Which of these is a perfect cube? (a) 1920 (b) 1728 (c) 2057
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  14. 14.Which of these is a perfect cube? (a) 91 (b) 109 (c) 64
  15. 15.What is 5³? =
  16. 16.What is ∛6859? =
  17. 17.What is 20³? =
  18. 18.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.What is 13³? =
  25. 25.What is ∛3375? =
  26. 26.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  28. 28.What is 12³? =
  29. 29.What is 11³? =
  30. 30.Which of these is a perfect cube? (a) 396 (b) 343 (c) 489
  31. 31.What is ∛1331? =
  32. 32.What is ∛2744? =
  33. 33.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  34. 34.What is ∛1728? =
  35. 35.A cube has a volume of 1000 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 2³? =
  38. 38.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  40. 40.What is 6³? =

Answer key

  1. 5
  2. 27
  3. 64
  4. 64
  5. 25
  6. 27
  7. 216
  8. 13
  9. 17
  10. 512
  11. 1728
  12. 2
  13. 49
  14. 64
  15. 125
  16. 19
  17. 8000
  18. 2
  19. 8
  20. 4
  21. 13
  22. 12
  23. 8
  24. 2197
  25. 15
  26. 6
  27. 18
  28. 1728
  29. 1331
  30. 343
  31. 11
  32. 14
  33. 2
  34. 12
  35. 10
  36. 9
  37. 8
  38. 2
  39. 9
  40. 216

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