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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 962 · 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.Which of these is a perfect cube? (a) 38 (b) 27 (c) 50
  2. 2.What is ∛343? =
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  5. 5.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  6. 6.What is ∛2744? =
  7. 7.Which of these is a perfect cube? (a) 1790 (b) 2127 (c) 1728
  8. 8.Which of these is a perfect cube? (a) 217 (b) 216 (c) 226
  9. 9.What is ∛125? =
  10. 10.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  11. 11.What is 7³? =
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  14. 14.What is 6³? =
  15. 15.What is ∛10648? =
  16. 16.What is ∛9261? =
  17. 17.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  19. 19.What is 15³? =
  20. 20.What is 4³? =
  21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛216? =
  23. 23.Which of these is a perfect cube? (a) 729 (b) 834 (c) 964
  24. 24.What is 17³? =
  25. 25.What is 10³? =
  26. 26.What is ∛1331? =
  27. 27.Which of these is a perfect cube? (a) 512 (b) 639 (c) 521
  28. 28.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  29. 29.What is 20³? =
  30. 30.What is 2³? =
  31. 31.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  32. 32.What is ∛8? =
  33. 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 2324 (b) 2379 (c) 2197
  35. 35.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  36. 36.What is ∛5832? =
  37. 37.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  39. 39.Which of these is a perfect cube? (a) 343 (b) 454 (c) 435
  40. 40.What is 11³? =

Answer key

  1. 27
  2. 7
  3. 17
  4. 49
  5. 2
  6. 14
  7. 1728
  8. 216
  9. 5
  10. 12
  11. 343
  12. 64
  13. 11
  14. 216
  15. 22
  16. 21
  17. 3
  18. 7
  19. 3375
  20. 64
  21. 8
  22. 6
  23. 729
  24. 4913
  25. 1000
  26. 11
  27. 512
  28. 7
  29. 8000
  30. 8
  31. 2
  32. 2
  33. 10
  34. 2197
  35. 5
  36. 18
  37. 49
  38. 4
  39. 343
  40. 1331

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