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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 500 · 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 the smallest whole number by which 24 must be divided to get a perfect cube?
  2. 2.What is 17³? =
  3. 3.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 2216 (b) 2197 (c) 2468
  6. 6.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 1728 (b) 1953 (c) 1754
  9. 9.What is 3³? =
  10. 10.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is 20³? =
  12. 12.What is ∛216? =
  13. 13.What is 12³? =
  14. 14.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is ∛27? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 6³? =
  29. 29.What is ∛1728? =
  30. 30.What is ∛4913? =
  31. 31.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is ∛4096? =
  33. 33.Which of these is a perfect cube? (a) 166 (b) 175 (c) 125
  34. 34.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  35. 35.What is ∛125? =
  36. 36.What is 10³? =
  37. 37.Which of these is a perfect cube? (a) 3569 (b) 3706 (c) 3375
  38. 38.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is ∛2744? =

Answer key

  1. 3
  2. 4913
  3. 7
  4. 27
  5. 2197
  6. 4
  7. 8
  8. 1728
  9. 27
  10. 125
  11. 8000
  12. 6
  13. 1728
  14. 64
  15. 2
  16. 18
  17. 49
  18. 49
  19. 27
  20. 125
  21. 3
  22. 8
  23. 27
  24. 4
  25. 125
  26. 10
  27. 64
  28. 216
  29. 12
  30. 17
  31. 125
  32. 16
  33. 125
  34. 5
  35. 5
  36. 1000
  37. 3375
  38. 13
  39. 64
  40. 14

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