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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 247 · 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 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛10648? =
  4. 4.What is 12³? =
  5. 5.What is ∛8000? =
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  8. 8.What is 10³? =
  9. 9.Which of these is a perfect cube? (a) 294 (b) 281 (c) 216
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 33 (b) 41 (c) 27
  12. 12.What is ∛1331? =
  13. 13.Which of these is a perfect cube? (a) 1728 (b) 1828 (c) 1806
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  16. 16.What is the smallest whole number by which 128 must be divided 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.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  20. 20.What is 16³? =
  21. 21.Which of these is a perfect cube? (a) 2197 (b) 2463 (c) 2564
  22. 22.What is ∛4913? =
  23. 23.What is 15³? =
  24. 24.What is ∛343? =
  25. 25.What is ∛64? =
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 1056 (b) 1014 (c) 1000
  28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  29. 29.What is 19³? =
  30. 30.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  31. 31.What is ∛512? =
  32. 32.What is 5³? =
  33. 33.Which of these is a perfect cube? (a) 3888 (b) 3375 (c) 3489
  34. 34.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  35. 35.What is 17³? =
  36. 36.What is 6³? =
  37. 37.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  39. 39.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  40. 40.Which of these is a perfect cube? (a) 512 (b) 610 (c) 544

Answer key

  1. 125
  2. 3
  3. 22
  4. 1728
  5. 20
  6. 5
  7. 9
  8. 1000
  9. 216
  10. 8
  11. 27
  12. 11
  13. 1728
  14. 216
  15. 4
  16. 2
  17. 27
  18. 5
  19. 4
  20. 4096
  21. 2197
  22. 17
  23. 3375
  24. 7
  25. 4
  26. 10
  27. 1000
  28. 13
  29. 6859
  30. 4
  31. 8
  32. 125
  33. 3375
  34. 3
  35. 4913
  36. 216
  37. 64
  38. 5
  39. 11
  40. 512

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