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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 356 · 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 6859 cubic cm. How long is each edge (in cm)?
  2. 2.What is 10³? =
  3. 3.What is 3³? =
  4. 4.What is 9³? =
  5. 5.What is 7³? =
  6. 6.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  7. 7.What is 8³? =
  8. 8.What is ∛2197? =
  9. 9.What is ∛4096? =
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 29 (b) 28 (c) 27
  12. 12.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  13. 13.Which of these is a perfect cube? (a) 1000 (b) 1177 (c) 1293
  14. 14.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛4913? =
  18. 18.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  22. 22.What is ∛8? =
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 71 (b) 64 (c) 82
  26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  28. 28.What is ∛8000? =
  29. 29.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 827 (b) 939 (c) 729
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 401 (b) 419 (c) 343
  33. 33.Which of these is a perfect cube? (a) 2603 (b) 2197 (c) 2259
  34. 34.Which of these is a perfect cube? (a) 3375 (b) 4013 (c) 3432
  35. 35.What is ∛3375? =
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is 12³? =

Answer key

  1. 19
  2. 1000
  3. 27
  4. 729
  5. 343
  6. 4
  7. 512
  8. 13
  9. 16
  10. 64
  11. 27
  12. 4
  13. 1000
  14. 18
  15. 3
  16. 9
  17. 17
  18. 4
  19. 27
  20. 125
  21. 2
  22. 2
  23. 64
  24. 6
  25. 64
  26. 7
  27. 7
  28. 20
  29. 3
  30. 729
  31. 216
  32. 343
  33. 2197
  34. 3375
  35. 15
  36. 8
  37. 5
  38. 125
  39. 27
  40. 1728

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