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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 861 · 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 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  7. 7.What is ∛12167? =
  8. 8.What is 16³? =
  9. 9.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 64 (b) 110 (c) 80
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is ∛8? =
  17. 17.Which of these is a perfect cube? (a) 1331 (b) 1623 (c) 1430
  18. 18.What is 14³? =
  19. 19.What is ∛1331? =
  20. 20.What is 9³? =
  21. 21.What is ∛729? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 260 (b) 252 (c) 216
  27. 27.What is ∛64? =
  28. 28.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  31. 31.What is 2³? =
  32. 32.Which of these is a perfect cube? (a) 1000 (b) 1217 (c) 1189
  33. 33.Which of these is a perfect cube? (a) 131 (b) 166 (c) 125
  34. 34.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is ∛6859? =
  38. 38.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛1728? =
  40. 40.What is ∛4096? =

Answer key

  1. 64
  2. 20
  3. 3
  4. 19
  5. 8
  6. 9
  7. 23
  8. 4096
  9. 216
  10. 9
  11. 27
  12. 49
  13. 13
  14. 64
  15. 216
  16. 2
  17. 1331
  18. 2744
  19. 11
  20. 729
  21. 9
  22. 15
  23. 8
  24. 5
  25. 2
  26. 216
  27. 4
  28. 7
  29. 4
  30. 25
  31. 8
  32. 1000
  33. 125
  34. 8
  35. 25
  36. 27
  37. 19
  38. 17
  39. 12
  40. 16

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