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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 334 · 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 343 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  3. 3.What is 17³? =
  4. 4.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛4096? =
  6. 6.What is ∛1000? =
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 65 (b) 67 (c) 64
  9. 9.Which of these is a perfect cube? (a) 268 (b) 216 (c) 218
  10. 10.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  11. 11.What is ∛2197? =
  12. 12.What is 4³? =
  13. 13.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is 8³? =
  15. 15.What is ∛15625? =
  16. 16.What is ∛9261? =
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 3725 (b) 3375 (c) 3599
  23. 23.Which of these is a perfect cube? (a) 186 (b) 133 (c) 125
  24. 24.What is 7³? =
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛125? =
  27. 27.What is 2³? =
  28. 28.What is 20³? =
  29. 29.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 578 (b) 523 (c) 512
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is ∛8? =
  34. 34.Which of these is a perfect cube? (a) 27 (b) 48 (c) 47
  35. 35.What is ∛1331? =
  36. 36.What is the smallest whole number by which 72 must be divided to get a perfect cube?
  37. 37.What is 3³? =
  38. 38.What is ∛4913? =
  39. 39.Which of these is a perfect cube? (a) 2861 (b) 2958 (c) 2744
  40. 40.Which of these is a perfect cube? (a) 1000 (b) 1088 (c) 1103

Answer key

  1. 7
  2. 9
  3. 4913
  4. 15
  5. 16
  6. 10
  7. 8
  8. 64
  9. 216
  10. 4
  11. 13
  12. 64
  13. 216
  14. 512
  15. 25
  16. 21
  17. 64
  18. 25
  19. 10
  20. 5
  21. 4
  22. 3375
  23. 125
  24. 343
  25. 4
  26. 5
  27. 8
  28. 8000
  29. 125
  30. 64
  31. 512
  32. 216
  33. 2
  34. 27
  35. 11
  36. 9
  37. 27
  38. 17
  39. 2744
  40. 1000

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