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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 515 · 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 512 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 274 (b) 216 (c) 275
  4. 4.What is 4³? =
  5. 5.What is 17³? =
  6. 6.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  7. 7.What is 13³? =
  8. 8.Which of these is a perfect cube? (a) 463 (b) 405 (c) 343
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is 10³? =
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is ∛1728? =
  13. 13.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛1331? =
  15. 15.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 1561 (b) 1500 (c) 1331
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛6859? =
  19. 19.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  20. 20.What is ∛13824? =
  21. 21.What is 7³? =
  22. 22.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  25. 25.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  26. 26.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 512 (b) 541 (c) 557
  28. 28.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 46 (b) 30 (c) 27
  30. 30.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  32. 32.What is ∛2197? =
  33. 33.What is ∛3375? =
  34. 34.What is 9³? =
  35. 35.Which of these is a perfect cube? (a) 962 (b) 745 (c) 729
  36. 36.What is 14³? =
  37. 37.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is 11³? =
  39. 39.What is ∛216? =
  40. 40.What is the smallest whole number by which 3125 must be divided to get a perfect cube?

Answer key

  1. 8
  2. 5
  3. 216
  4. 64
  5. 4913
  6. 16
  7. 2197
  8. 343
  9. 4
  10. 1000
  11. 8
  12. 12
  13. 19
  14. 11
  15. 11
  16. 1331
  17. 6
  18. 19
  19. 5
  20. 24
  21. 343
  22. 7
  23. 125
  24. 18
  25. 13
  26. 7
  27. 512
  28. 3
  29. 27
  30. 49
  31. 25
  32. 13
  33. 15
  34. 729
  35. 729
  36. 2744
  37. 27
  38. 1331
  39. 6
  40. 25

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