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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 683 · 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 ∛8? =
  2. 2.What is 19³? =
  3. 3.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  4. 4.What is 2³? =
  5. 5.Which of these is a perfect cube? (a) 85 (b) 64 (c) 97
  6. 6.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛1331? =
  8. 8.Which of these is a perfect cube? (a) 1418 (b) 1453 (c) 1331
  9. 9.Which of these is a perfect cube? (a) 2744 (b) 2934 (c) 3284
  10. 10.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  11. 11.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  12. 12.What is ∛343? =
  13. 13.Which of these is a perfect cube? (a) 151 (b) 125 (c) 170
  14. 14.What is 18³? =
  15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛15625? =
  17. 17.What is 14³? =
  18. 18.Which of these is a perfect cube? (a) 266 (b) 255 (c) 216
  19. 19.Which of these is a perfect cube? (a) 1023 (b) 1064 (c) 1000
  20. 20.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  21. 21.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  25. 25.What is ∛64? =
  26. 26.What is 20³? =
  27. 27.What is ∛2197? =
  28. 28.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  29. 29.What is 6³? =
  30. 30.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  36. 36.What is 9³? =
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.A cube has a volume of 729 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. 2
  2. 6859
  3. 7
  4. 8
  5. 64
  6. 4
  7. 11
  8. 1331
  9. 2744
  10. 49
  11. 2
  12. 7
  13. 125
  14. 5832
  15. 8
  16. 25
  17. 2744
  18. 216
  19. 1000
  20. 16
  21. 19
  22. 13
  23. 216
  24. 4
  25. 4
  26. 8000
  27. 13
  28. 3
  29. 216
  30. 49
  31. 3
  32. 18
  33. 8
  34. 125
  35. 4
  36. 729
  37. 64
  38. 27
  39. 9
  40. 6

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