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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 952 · 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.Which of these is a perfect cube? (a) 3120 (b) 2905 (c) 2744
  2. 2.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  3. 3.What is 9³? =
  4. 4.What is ∛12167? =
  5. 5.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 3375 (b) 3730 (c) 3954
  7. 7.What is ∛6859? =
  8. 8.What is ∛2744? =
  9. 9.What is 12³? =
  10. 10.What is ∛125? =
  11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  16. 16.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 1331 (b) 1448 (c) 1539
  19. 19.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 729 (b) 922 (c) 810
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is ∛10648? =
  23. 23.What is 2³? =
  24. 24.What is 14³? =
  25. 25.What is ∛3375? =
  26. 26.What is ∛8000? =
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.What is 16³? =
  29. 29.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.What is ∛1728? =
  32. 32.What is ∛1331? =
  33. 33.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  34. 34.What is ∛216? =
  35. 35.What is ∛4096? =
  36. 36.What is 4³? =
  37. 37.What is ∛8? =
  38. 38.Which of these is a perfect cube? (a) 84 (b) 90 (c) 64
  39. 39.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect cube? (a) 253 (b) 216 (c) 303

Answer key

  1. 2744
  2. 3
  3. 729
  4. 23
  5. 2
  6. 3375
  7. 19
  8. 14
  9. 1728
  10. 5
  11. 27
  12. 8
  13. 9
  14. 16
  15. 4
  16. 2
  17. 27
  18. 1331
  19. 216
  20. 729
  21. 64
  22. 22
  23. 8
  24. 2744
  25. 15
  26. 20
  27. 17
  28. 4096
  29. 5
  30. 8
  31. 12
  32. 11
  33. 25
  34. 6
  35. 16
  36. 64
  37. 2
  38. 64
  39. 13
  40. 216

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