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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 79 · 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 11³? =
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  6. 6.What is 17³? =
  7. 7.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  10. 10.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  13. 13.What is 7³? =
  14. 14.What is 20³? =
  15. 15.Which of these is a perfect cube? (a) 1507 (b) 1357 (c) 1331
  16. 16.What is 5³? =
  17. 17.What is 19³? =
  18. 18.What is ∛27? =
  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 200 must be divided to get a perfect cube?
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 729 (b) 917 (c) 865
  24. 24.What is ∛12167? =
  25. 25.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  26. 26.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is ∛13824? =
  28. 28.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 2437 (b) 2197 (c) 2440
  35. 35.Which of these is a perfect cube? (a) 64 (b) 108 (c) 75
  36. 36.What is ∛216? =
  37. 37.What is ∛1728? =
  38. 38.What is ∛729? =
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 375 must be divided to get a perfect cube?

Answer key

  1. 1331
  2. 17
  3. 49
  4. 216
  5. 2
  6. 4913
  7. 3
  8. 4
  9. 2
  10. 12
  11. 216
  12. 9
  13. 343
  14. 8000
  15. 1331
  16. 125
  17. 6859
  18. 3
  19. 8
  20. 25
  21. 64
  22. 5
  23. 729
  24. 23
  25. 5
  26. 8
  27. 24
  28. 5
  29. 14
  30. 7
  31. 64
  32. 16
  33. 7
  34. 2197
  35. 64
  36. 6
  37. 12
  38. 9
  39. 6
  40. 3

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