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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 337 · 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.What is ∛729? =
  2. 2.Which of these is a perfect cube? (a) 64 (b) 101 (c) 84
  3. 3.What is 15³? =
  4. 4.What is ∛5832? =
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is 13³? =
  8. 8.What is ∛343? =
  9. 9.Which of these is a perfect cube? (a) 377 (b) 343 (c) 389
  10. 10.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 8³? =
  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 16³? =
  14. 14.What is ∛8? =
  15. 15.What is 9³? =
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.What is 10³? =
  18. 18.Which of these is a perfect cube? (a) 3108 (b) 2791 (c) 2744
  19. 19.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛2744? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.Which of these is a perfect cube? (a) 319 (b) 216 (c) 298
  24. 24.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  25. 25.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  26. 26.What is 4³? =
  27. 27.What is 20³? =
  28. 28.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  30. 30.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 1348 (b) 1585 (c) 1331
  32. 32.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  33. 33.What is ∛2197? =
  34. 34.What is ∛9261? =
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 36 (b) 30 (c) 27
  39. 39.What is 19³? =
  40. 40.Which of these is a perfect cube? (a) 512 (b) 581 (c) 659

Answer key

  1. 9
  2. 64
  3. 3375
  4. 18
  5. 216
  6. 8
  7. 2197
  8. 7
  9. 343
  10. 27
  11. 512
  12. 27
  13. 4096
  14. 2
  15. 729
  16. 9
  17. 1000
  18. 2744
  19. 7
  20. 4
  21. 14
  22. 8
  23. 216
  24. 49
  25. 5
  26. 64
  27. 8000
  28. 125
  29. 49
  30. 2
  31. 1331
  32. 4
  33. 13
  34. 21
  35. 17
  36. 14
  37. 8
  38. 27
  39. 6859
  40. 512

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