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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 220 · 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 16³? =
  2. 2.What is 8³? =
  3. 3.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛8? =
  6. 6.Which of these is a perfect cube? (a) 48 (b) 30 (c) 27
  7. 7.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛3375? =
  11. 11.What is 2³? =
  12. 12.What is ∛4913? =
  13. 13.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  14. 14.What is ∛1728? =
  15. 15.What is ∛9261? =
  16. 16.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 418 (b) 468 (c) 343
  18. 18.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛4096? =
  20. 20.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛343? =
  22. 22.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  23. 23.What is 7³? =
  24. 24.What is ∛64? =
  25. 25.Which of these is a perfect cube? (a) 1455 (b) 1331 (c) 1667
  26. 26.What is 4³? =
  27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛1000? =
  29. 29.Which of these is a perfect cube? (a) 2986 (b) 2744 (c) 3167
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  32. 32.What is 15³? =
  33. 33.Which of these is a perfect cube? (a) 303 (b) 221 (c) 216
  34. 34.Which of these is a perfect cube? (a) 757 (b) 748 (c) 729
  35. 35.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  36. 36.What is 11³? =
  37. 37.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.Which of these is a perfect cube? (a) 2094 (b) 1932 (c) 1728
  40. 40.What is 9³? =

Answer key

  1. 4096
  2. 512
  3. 2
  4. 11
  5. 2
  6. 27
  7. 2
  8. 125
  9. 15
  10. 15
  11. 8
  12. 17
  13. 7
  14. 12
  15. 21
  16. 216
  17. 343
  18. 13
  19. 16
  20. 20
  21. 7
  22. 5
  23. 343
  24. 4
  25. 1331
  26. 64
  27. 27
  28. 10
  29. 2744
  30. 64
  31. 49
  32. 3375
  33. 216
  34. 729
  35. 10
  36. 1331
  37. 9
  38. 27
  39. 1728
  40. 729

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