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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 394 · 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 15³? =
  2. 2.What is ∛1331? =
  3. 3.Which of these is a perfect cube? (a) 468 (b) 343 (c) 349
  4. 4.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 1563 (b) 1420 (c) 1331
  7. 7.Which of these is a perfect cube? (a) 64 (b) 74 (c) 82
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  10. 10.What is ∛4913? =
  11. 11.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  12. 12.What is 19³? =
  13. 13.Which of these is a perfect cube? (a) 2998 (b) 3130 (c) 2744
  14. 14.What is 4³? =
  15. 15.What is ∛27? =
  16. 16.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 27 (b) 28 (c) 36
  20. 20.What is 12³? =
  21. 21.Which of these is a perfect cube? (a) 262 (b) 216 (c) 283
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛64? =
  25. 25.What is 14³? =
  26. 26.Which of these is a perfect cube? (a) 569 (b) 672 (c) 512
  27. 27.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  28. 28.What is ∛216? =
  29. 29.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  31. 31.What is 5³? =
  32. 32.What is 13³? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  35. 35.What is ∛6859? =
  36. 36.Which of these is a perfect cube? (a) 1273 (b) 1052 (c) 1000
  37. 37.What is 6³? =
  38. 38.What is ∛8000? =
  39. 39.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  40. 40.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?

Answer key

  1. 3375
  2. 11
  3. 343
  4. 8
  5. 27
  6. 1331
  7. 64
  8. 8
  9. 4
  10. 17
  11. 9
  12. 6859
  13. 2744
  14. 64
  15. 3
  16. 216
  17. 8
  18. 27
  19. 27
  20. 1728
  21. 216
  22. 64
  23. 18
  24. 4
  25. 2744
  26. 512
  27. 9
  28. 6
  29. 2
  30. 25
  31. 125
  32. 2197
  33. 64
  34. 5
  35. 19
  36. 1000
  37. 216
  38. 20
  39. 2
  40. 17

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