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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 265 · 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 14³? =
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  6. 6.What is 11³? =
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 141 (b) 125 (c) 192
  9. 9.What is 8³? =
  10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  11. 11.What is 17³? =
  12. 12.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  13. 13.What is ∛64? =
  14. 14.What is 3³? =
  15. 15.Which of these is a perfect cube? (a) 53 (b) 29 (c) 27
  16. 16.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  18. 18.What is ∛216? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is 20³? =
  21. 21.What is ∛2197? =
  22. 22.Which of these is a perfect cube? (a) 3375 (b) 3895 (c) 3434
  23. 23.What is ∛343? =
  24. 24.What is 19³? =
  25. 25.What is ∛15625? =
  26. 26.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is 13³? =
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is ∛27? =
  30. 30.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛125? =
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  35. 35.What is ∛1000? =
  36. 36.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.What is 15³? =
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?

Answer key

  1. 2744
  2. 64
  3. 216
  4. 14
  5. 49
  6. 1331
  7. 7
  8. 125
  9. 512
  10. 11
  11. 4913
  12. 4
  13. 4
  14. 27
  15. 27
  16. 4
  17. 49
  18. 6
  19. 27
  20. 8000
  21. 13
  22. 3375
  23. 7
  24. 6859
  25. 25
  26. 125
  27. 2197
  28. 27
  29. 3
  30. 19
  31. 8
  32. 5
  33. 8
  34. 49
  35. 10
  36. 4
  37. 64
  38. 3375
  39. 125
  40. 13

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