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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 724 · 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 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  3. 3.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  4. 4.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  5. 5.What is 15³? =
  6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 3375 (b) 3848 (c) 3807
  8. 8.Which of these is a perfect cube? (a) 1547 (b) 1331 (c) 1643
  9. 9.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is ∛125? =
  11. 11.What is ∛2197? =
  12. 12.What is 9³? =
  13. 13.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  14. 14.What is ∛1331? =
  15. 15.What is ∛8? =
  16. 16.What is 2³? =
  17. 17.What is 7³? =
  18. 18.What is 13³? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.What is ∛10648? =
  21. 21.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 469 (b) 343 (c) 355
  23. 23.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 47 (b) 38 (c) 27
  25. 25.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛27? =
  27. 27.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 1728 (b) 1793 (c) 1999
  31. 31.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 125 (b) 151 (c) 136
  33. 33.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  36. 36.What is 11³? =
  37. 37.Which of these is a perfect cube? (a) 1156 (b) 1295 (c) 1000
  38. 38.What is 20³? =
  39. 39.What is 5³? =
  40. 40.What is ∛12167? =

Answer key

  1. 64
  2. 9
  3. 4
  4. 7
  5. 3375
  6. 64
  7. 3375
  8. 1331
  9. 125
  10. 5
  11. 13
  12. 729
  13. 4
  14. 11
  15. 2
  16. 8
  17. 343
  18. 2197
  19. 216
  20. 22
  21. 15
  22. 343
  23. 9
  24. 27
  25. 17
  26. 3
  27. 125
  28. 19
  29. 12
  30. 1728
  31. 3
  32. 125
  33. 2
  34. 5
  35. 2
  36. 1331
  37. 1000
  38. 8000
  39. 125
  40. 23

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