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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 249 · 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 14³? =
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  5. 5.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.Which of these is a perfect cube? (a) 2347 (b) 2593 (c) 2197
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛8000? =
  11. 11.What is 15³? =
  12. 12.What is 9³? =
  13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  14. 14.What is 18³? =
  15. 15.What is 7³? =
  16. 16.What is 5³? =
  17. 17.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is 6³? =
  19. 19.What is ∛1728? =
  20. 20.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  21. 21.What is ∛12167? =
  22. 22.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛125? =
  24. 24.What is 10³? =
  25. 25.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 1664 (b) 1528 (c) 1331
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛64? =
  29. 29.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  31. 31.What is 12³? =
  32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is ∛13824? =
  37. 37.Which of these is a perfect cube? (a) 930 (b) 729 (c) 945
  38. 38.Which of these is a perfect cube? (a) 512 (b) 686 (c) 610
  39. 39.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛343? =

Answer key

  1. 2744
  2. 13
  3. 216
  4. 49
  5. 11
  6. 25
  7. 7
  8. 2197
  9. 27
  10. 20
  11. 3375
  12. 729
  13. 10
  14. 5832
  15. 343
  16. 125
  17. 216
  18. 216
  19. 12
  20. 3
  21. 23
  22. 27
  23. 5
  24. 1000
  25. 5
  26. 1331
  27. 8
  28. 4
  29. 4
  30. 49
  31. 1728
  32. 18
  33. 16
  34. 4
  35. 8
  36. 24
  37. 729
  38. 512
  39. 12
  40. 7

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