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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 558 · 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) 626 (b) 658 (c) 512
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛4913? =
  5. 5.What is ∛9261? =
  6. 6.What is 18³? =
  7. 7.What is ∛10648? =
  8. 8.What is 7³? =
  9. 9.Which of these is a perfect cube? (a) 1728 (b) 1908 (c) 2151
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 33 (b) 29 (c) 27
  17. 17.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  19. 19.A big cube of edge 12 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) 70 (b) 78 (c) 64
  21. 21.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  22. 22.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  23. 23.What is 12³? =
  24. 24.What is ∛64? =
  25. 25.What is 11³? =
  26. 26.What is ∛13824? =
  27. 27.What is 17³? =
  28. 28.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛27? =
  31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 1000 (b) 1115 (c) 1238
  35. 35.What is ∛3375? =
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  38. 38.What is ∛729? =
  39. 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?

Answer key

  1. 512
  2. 8
  3. 12
  4. 17
  5. 21
  6. 5832
  7. 22
  8. 343
  9. 1728
  10. 3
  11. 7
  12. 64
  13. 5
  14. 9
  15. 16
  16. 27
  17. 27
  18. 5
  19. 64
  20. 64
  21. 7
  22. 4
  23. 1728
  24. 4
  25. 1331
  26. 24
  27. 4913
  28. 8
  29. 13
  30. 3
  31. 216
  32. 10
  33. 27
  34. 1000
  35. 15
  36. 216
  37. 4
  38. 9
  39. 11
  40. 3

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