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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 376 · 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 ∛27? =
  2. 2.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 54 (b) 49 (c) 27
  5. 5.What is ∛5832? =
  6. 6.Which of these is a perfect cube? (a) 2627 (b) 2197 (c) 2305
  7. 7.What is ∛2744? =
  8. 8.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is ∛512? =
  10. 10.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  11. 11.What is 14³? =
  12. 12.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  13. 13.What is 10³? =
  14. 14.What is 12³? =
  15. 15.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 527 (b) 519 (c) 512
  20. 20.What is 20³? =
  21. 21.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  22. 22.Which of these is a perfect cube? (a) 65 (b) 78 (c) 64
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  25. 25.What is ∛216? =
  26. 26.What is 6³? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is 8³? =
  29. 29.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛343? =
  31. 31.What is ∛8000? =
  32. 32.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  33. 33.What is 11³? =
  34. 34.What is ∛1331? =
  35. 35.What is 3³? =
  36. 36.What is 5³? =
  37. 37.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 1000 (b) 1237 (c) 1060
  39. 39.What is ∛15625? =
  40. 40.What is the smallest whole number by which 9 must be divided to get a perfect cube?

Answer key

  1. 3
  2. 216
  3. 4
  4. 27
  5. 18
  6. 2197
  7. 14
  8. 64
  9. 8
  10. 4
  11. 2744
  12. 11
  13. 1000
  14. 1728
  15. 12
  16. 2
  17. 9
  18. 216
  19. 512
  20. 8000
  21. 4
  22. 64
  23. 6
  24. 49
  25. 6
  26. 216
  27. 8
  28. 512
  29. 15
  30. 7
  31. 20
  32. 49
  33. 1331
  34. 11
  35. 27
  36. 125
  37. 125
  38. 1000
  39. 25
  40. 9

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