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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 953 · 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 27 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛15625? =
  3. 3.Which of these is a perfect cube? (a) 1424 (b) 1331 (c) 1624
  4. 4.What is 6³? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛1728? =
  11. 11.What is 16³? =
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  15. 15.What is 17³? =
  16. 16.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is ∛1331? =
  19. 19.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 189 (b) 146 (c) 125
  21. 21.What is ∛4913? =
  22. 22.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  23. 23.What is ∛1000? =
  24. 24.What is ∛216? =
  25. 25.What is ∛13824? =
  26. 26.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 27 (b) 50 (c) 29
  29. 29.What is ∛343? =
  30. 30.Which of these is a perfect cube? (a) 64 (b) 71 (c) 75
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 2159 (b) 1728 (c) 1945
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 343 (b) 487 (c) 483
  35. 35.What is 4³? =
  36. 36.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  37. 37.What is ∛512? =
  38. 38.What is ∛6859? =
  39. 39.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  40. 40.What is 9³? =

Answer key

  1. 3
  2. 25
  3. 1331
  4. 216
  5. 8
  6. 5
  7. 18
  8. 27
  9. 13
  10. 12
  11. 4096
  12. 19
  13. 49
  14. 16
  15. 4913
  16. 125
  17. 27
  18. 11
  19. 7
  20. 125
  21. 17
  22. 5
  23. 10
  24. 6
  25. 24
  26. 2
  27. 4
  28. 27
  29. 7
  30. 64
  31. 125
  32. 1728
  33. 17
  34. 343
  35. 64
  36. 25
  37. 8
  38. 19
  39. 6
  40. 729

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