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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 278 · 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 8000 cubic cm. How long is each edge (in cm)?
  2. 2.What is 11³? =
  3. 3.Which of these is a perfect cube? (a) 125 (b) 154 (c) 186
  4. 4.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  5. 5.What is ∛2197? =
  6. 6.What is ∛5832? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  9. 9.What is ∛343? =
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is 6³? =
  12. 12.Which of these is a perfect cube? (a) 3786 (b) 3522 (c) 3375
  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.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  16. 16.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 40 (b) 27 (c) 28
  18. 18.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  19. 19.What is ∛4096? =
  20. 20.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  23. 23.What is 19³? =
  24. 24.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛12167? =
  27. 27.What is ∛4913? =
  28. 28.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 343 (b) 466 (c) 384
  30. 30.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  31. 31.What is ∛216? =
  32. 32.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 4³? =
  35. 35.What is ∛512? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is 12³? =
  38. 38.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  39. 39.What is 3³? =
  40. 40.What is ∛27? =

Answer key

  1. 20
  2. 1331
  3. 125
  4. 4
  5. 13
  6. 18
  7. 27
  8. 3
  9. 7
  10. 8
  11. 216
  12. 3375
  13. 8
  14. 17
  15. 3
  16. 125
  17. 27
  18. 9
  19. 16
  20. 18
  21. 3
  22. 7
  23. 6859
  24. 5
  25. 19
  26. 23
  27. 17
  28. 9
  29. 343
  30. 7
  31. 6
  32. 4
  33. 125
  34. 64
  35. 8
  36. 64
  37. 1728
  38. 2
  39. 27
  40. 3

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