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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 908 · 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 big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛13824? =
  4. 4.Which of these is a perfect cube? (a) 735 (b) 831 (c) 729
  5. 5.What is ∛6859? =
  6. 6.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  7. 7.What is 7³? =
  8. 8.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 2197 (b) 2526 (c) 2538
  10. 10.What is 17³? =
  11. 11.What is 9³? =
  12. 12.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  15. 15.What is 14³? =
  16. 16.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  18. 18.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 73 (b) 78 (c) 64
  21. 21.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  22. 22.What is ∛12167? =
  23. 23.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  24. 24.What is ∛4913? =
  25. 25.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  28. 28.What is 10³? =
  29. 29.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  30. 30.Which of these is a perfect cube? (a) 3389 (b) 3375 (c) 4028
  31. 31.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is 15³? =
  35. 35.Which of these is a perfect cube? (a) 1279 (b) 1001 (c) 1000
  36. 36.What is 18³? =
  37. 37.What is ∛216? =
  38. 38.What is ∛125? =
  39. 39.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 125
  2. 4
  3. 24
  4. 729
  5. 19
  6. 3
  7. 343
  8. 12
  9. 2197
  10. 4913
  11. 729
  12. 2
  13. 10
  14. 20
  15. 2744
  16. 4
  17. 27
  18. 8
  19. 64
  20. 64
  21. 49
  22. 23
  23. 4
  24. 17
  25. 27
  26. 216
  27. 2
  28. 1000
  29. 9
  30. 3375
  31. 7
  32. 49
  33. 125
  34. 3375
  35. 1000
  36. 5832
  37. 6
  38. 5
  39. 17
  40. 6

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