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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 692 · 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 4³? =
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is 14³? =
  4. 4.What is ∛3375? =
  5. 5.Which of these is a perfect cube? (a) 73 (b) 64 (c) 84
  6. 6.What is ∛729? =
  7. 7.What is 5³? =
  8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛2744? =
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 309 (b) 307 (c) 216
  13. 13.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is ∛1728? =
  15. 15.What is ∛8000? =
  16. 16.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛1000? =
  20. 20.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  21. 21.What is ∛6859? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  24. 24.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 1691 (b) 1458 (c) 1331
  26. 26.What is ∛8? =
  27. 27.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  28. 28.What is 3³? =
  29. 29.What is 2³? =
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 27 (b) 50 (c) 39
  32. 32.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  33. 33.What is 20³? =
  34. 34.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  35. 35.What is 13³? =
  36. 36.Which of these is a perfect cube? (a) 125 (b) 143 (c) 145
  37. 37.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  38. 38.Which of these is a perfect cube? (a) 2478 (b) 2210 (c) 2197
  39. 39.What is 8³? =
  40. 40.What is 6³? =

Answer key

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

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