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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 263 · 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 cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 2103 (b) 1728 (c) 2047
  3. 3.Which of these is a perfect cube? (a) 1000 (b) 1283 (c) 1029
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  6. 6.What is ∛2744? =
  7. 7.What is ∛1331? =
  8. 8.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  9. 9.What is 13³? =
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛64? =
  13. 13.What is ∛12167? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is ∛343? =
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.What is 11³? =
  19. 19.What is 8³? =
  20. 20.Which of these is a perfect cube? (a) 4003 (b) 3375 (c) 3687
  21. 21.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  22. 22.What is 2³? =
  23. 23.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  27. 27.What is 19³? =
  28. 28.Which of these is a perfect cube? (a) 125 (b) 185 (c) 192
  29. 29.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 703 (b) 528 (c) 512
  31. 31.What is 18³? =
  32. 32.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 2278 (b) 2685 (c) 2197
  34. 34.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  35. 35.What is 20³? =
  36. 36.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 2744 (b) 2780 (c) 3319
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is 12³? =
  40. 40.What is ∛512? =

Answer key

  1. 19
  2. 1728
  3. 1000
  4. 13
  5. 2
  6. 14
  7. 11
  8. 16
  9. 2197
  10. 8
  11. 15
  12. 4
  13. 23
  14. 27
  15. 64
  16. 7
  17. 6
  18. 1331
  19. 512
  20. 3375
  21. 2
  22. 8
  23. 4
  24. 64
  25. 49
  26. 49
  27. 6859
  28. 125
  29. 4
  30. 512
  31. 5832
  32. 7
  33. 2197
  34. 4
  35. 8000
  36. 25
  37. 2744
  38. 216
  39. 1728
  40. 8

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