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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 293 · 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 cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 64 (b) 83 (c) 71
  5. 5.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  7. 7.What is 17³? =
  8. 8.Which of these is a perfect cube? (a) 3110 (b) 2744 (c) 3234
  9. 9.Which of these is a perfect cube? (a) 1997 (b) 1728 (c) 2152
  10. 10.What is ∛125? =
  11. 11.What is ∛10648? =
  12. 12.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛216? =
  17. 17.What is 4³? =
  18. 18.What is 5³? =
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is ∛1000? =
  21. 21.What is ∛343? =
  22. 22.Which of these is a perfect cube? (a) 2254 (b) 2197 (c) 2276
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is ∛2744? =
  26. 26.What is ∛1728? =
  27. 27.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  29. 29.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 964 (b) 945 (c) 729
  31. 31.What is ∛5832? =
  32. 32.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 15³? =
  37. 37.What is ∛3375? =
  38. 38.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is 20³? =

Answer key

  1. 2744
  2. 3
  3. 8
  4. 64
  5. 4
  6. 49
  7. 4913
  8. 2744
  9. 1728
  10. 5
  11. 22
  12. 13
  13. 64
  14. 19
  15. 27
  16. 6
  17. 64
  18. 125
  19. 125
  20. 10
  21. 7
  22. 2197
  23. 64
  24. 125
  25. 14
  26. 12
  27. 3
  28. 2
  29. 8
  30. 729
  31. 18
  32. 4
  33. 4
  34. 27
  35. 216
  36. 3375
  37. 15
  38. 7
  39. 6
  40. 8000

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