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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 496 · 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) 554 (b) 512 (c) 611
  3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛2197? =
  5. 5.What is ∛4913? =
  6. 6.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  7. 7.What is 2³? =
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛8000? =
  11. 11.Which of these is a perfect cube? (a) 64 (b) 86 (c) 105
  12. 12.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 216 (b) 236 (c) 321
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 1643 (b) 1543 (c) 1331
  18. 18.Which of these is a perfect cube? (a) 2744 (b) 3267 (c) 2895
  19. 19.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  20. 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.What is 15³? =
  23. 23.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 3375 (b) 3615 (c) 3570
  25. 25.What is ∛64? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is ∛12167? =
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is 19³? =
  30. 30.Which of these is a perfect cube? (a) 178 (b) 192 (c) 125
  31. 31.What is ∛3375? =
  32. 32.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is 16³? =
  34. 34.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  36. 36.What is 7³? =
  37. 37.What is 12³? =
  38. 38.What is 9³? =
  39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?

Answer key

  1. 19
  2. 512
  3. 5
  4. 13
  5. 17
  6. 49
  7. 8
  8. 3
  9. 6
  10. 20
  11. 64
  12. 11
  13. 8
  14. 25
  15. 216
  16. 8
  17. 1331
  18. 2744
  19. 4
  20. 10
  21. 125
  22. 3375
  23. 4
  24. 3375
  25. 4
  26. 216
  27. 23
  28. 64
  29. 6859
  30. 125
  31. 15
  32. 64
  33. 4096
  34. 9
  35. 2
  36. 343
  37. 1728
  38. 729
  39. 7
  40. 18

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