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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 402 · 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 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is ∛216? =
  3. 3.What is ∛343? =
  4. 4.What is ∛1000? =
  5. 5.What is 9³? =
  6. 6.Which of these is a perfect cube? (a) 1000 (b) 1265 (c) 1043
  7. 7.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is 8³? =
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  11. 11.What is ∛125? =
  12. 12.What is ∛15625? =
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 4³? =
  15. 15.What is ∛5832? =
  16. 16.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  17. 17.What is 17³? =
  18. 18.Which of these is a perfect cube? (a) 2629 (b) 2225 (c) 2197
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  22. 22.What is ∛64? =
  23. 23.Which of these is a perfect cube? (a) 27 (b) 46 (c) 45
  24. 24.What is 3³? =
  25. 25.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  26. 26.What is 12³? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is 7³? =
  29. 29.What is ∛4096? =
  30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 125 (b) 144 (c) 185
  32. 32.Which of these is a perfect cube? (a) 729 (b) 916 (c) 946
  33. 33.What is ∛27? =
  34. 34.What is ∛1728? =
  35. 35.What is 20³? =
  36. 36.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  37. 37.What is 15³? =
  38. 38.Which of these is a perfect cube? (a) 433 (b) 347 (c) 343
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is 5³? =

Answer key

  1. 27
  2. 6
  3. 7
  4. 10
  5. 729
  6. 1000
  7. 64
  8. 512
  9. 17
  10. 4
  11. 5
  12. 25
  13. 125
  14. 64
  15. 18
  16. 18
  17. 4913
  18. 2197
  19. 8
  20. 19
  21. 9
  22. 4
  23. 27
  24. 27
  25. 25
  26. 1728
  27. 27
  28. 343
  29. 16
  30. 8
  31. 125
  32. 729
  33. 3
  34. 12
  35. 8000
  36. 7
  37. 3375
  38. 343
  39. 27
  40. 125

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