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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 5 · 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) 1454 (b) 1331 (c) 1541
  2. 2.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is 5³? =
  4. 4.What is 4³? =
  5. 5.What is ∛4096? =
  6. 6.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is ∛10648? =
  9. 9.What is 11³? =
  10. 10.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  12. 12.What is 7³? =
  13. 13.What is 20³? =
  14. 14.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  16. 16.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 449 (b) 462 (c) 343
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  20. 20.Which of these is a perfect cube? (a) 103 (b) 109 (c) 64
  21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  24. 24.What is 3³? =
  25. 25.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  27. 27.What is 8³? =
  28. 28.Which of these is a perfect cube? (a) 3862 (b) 3776 (c) 3375
  29. 29.What is ∛9261? =
  30. 30.Which of these is a perfect cube? (a) 27 (b) 39 (c) 51
  31. 31.Which of these is a perfect cube? (a) 1184 (b) 1247 (c) 1000
  32. 32.What is 10³? =
  33. 33.What is 17³? =
  34. 34.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  36. 36.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  37. 37.What is ∛1000? =
  38. 38.Which of these is a perfect cube? (a) 137 (b) 191 (c) 125
  39. 39.What is 6³? =
  40. 40.What is ∛125? =

Answer key

  1. 1331
  2. 216
  3. 125
  4. 64
  5. 16
  6. 49
  7. 27
  8. 22
  9. 1331
  10. 3
  11. 25
  12. 343
  13. 8000
  14. 20
  15. 3
  16. 19
  17. 343
  18. 216
  19. 4
  20. 64
  21. 8
  22. 11
  23. 2
  24. 27
  25. 49
  26. 12
  27. 512
  28. 3375
  29. 21
  30. 27
  31. 1000
  32. 1000
  33. 4913
  34. 216
  35. 16
  36. 2
  37. 10
  38. 125
  39. 216
  40. 5

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