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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 569 · 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 big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.What is 15³? =
  3. 3.What is ∛343? =
  4. 4.What is ∛1331? =
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  7. 7.What is 5³? =
  8. 8.What is ∛5832? =
  9. 9.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  10. 10.What is 17³? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 645 (b) 626 (c) 512
  18. 18.What is ∛64? =
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 229 (b) 273 (c) 216
  21. 21.What is ∛13824? =
  22. 22.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is ∛6859? =
  25. 25.What is 7³? =
  26. 26.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 478 (b) 400 (c) 343
  28. 28.What is 6³? =
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 3³? =
  31. 31.What is 20³? =
  32. 32.What is 11³? =
  33. 33.What is ∛4913? =
  34. 34.What is 4³? =
  35. 35.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  37. 37.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛9261? =
  39. 39.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 190 (b) 152 (c) 125

Answer key

  1. 216
  2. 3375
  3. 7
  4. 11
  5. 27
  6. 7
  7. 125
  8. 18
  9. 49
  10. 4913
  11. 64
  12. 7
  13. 16
  14. 3
  15. 4
  16. 6
  17. 512
  18. 4
  19. 8
  20. 216
  21. 24
  22. 7
  23. 216
  24. 19
  25. 343
  26. 9
  27. 343
  28. 216
  29. 125
  30. 27
  31. 8000
  32. 1331
  33. 17
  34. 64
  35. 13
  36. 12
  37. 17
  38. 21
  39. 64
  40. 125

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