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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 3 · 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 64 cubic cm. How long is each edge (in cm)?
  2. 2.What is 13³? =
  3. 3.Which of these is a perfect cube? (a) 237 (b) 216 (c) 245
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 2489 (b) 2197 (c) 2569
  6. 6.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 2011 (b) 1728 (c) 1960
  8. 8.What is 6³? =
  9. 9.What is 19³? =
  10. 10.Which of these is a perfect cube? (a) 52 (b) 27 (c) 30
  11. 11.Which of these is a perfect cube? (a) 1686 (b) 1344 (c) 1331
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is ∛125? =
  14. 14.What is 17³? =
  15. 15.What is 3³? =
  16. 16.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  17. 17.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  18. 18.What is ∛729? =
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  25. 25.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  26. 26.What is 8³? =
  27. 27.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  32. 32.What is 20³? =
  33. 33.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  34. 34.What is 18³? =
  35. 35.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is ∛27? =
  38. 38.What is ∛512? =
  39. 39.Which of these is a perfect cube? (a) 605 (b) 512 (c) 541
  40. 40.What is the smallest whole number by which 32 must be divided to get a perfect cube?

Answer key

  1. 4
  2. 2197
  3. 216
  4. 8
  5. 2197
  6. 8
  7. 1728
  8. 216
  9. 6859
  10. 27
  11. 1331
  12. 27
  13. 5
  14. 4913
  15. 27
  16. 25
  17. 49
  18. 9
  19. 27
  20. 19
  21. 5
  22. 15
  23. 49
  24. 7
  25. 49
  26. 512
  27. 7
  28. 64
  29. 3
  30. 8
  31. 9
  32. 8000
  33. 13
  34. 5832
  35. 4
  36. 216
  37. 3
  38. 8
  39. 512
  40. 4

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