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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 181 · 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 ∛2197? =
  2. 2.What is ∛9261? =
  3. 3.What is ∛2744? =
  4. 4.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 2149 (b) 1728 (c) 1994
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛6859? =
  8. 8.What is 2³? =
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  11. 11.What is ∛13824? =
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is 7³? =
  15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is 13³? =
  17. 17.What is ∛5832? =
  18. 18.Which of these is a perfect cube? (a) 1614 (b) 1331 (c) 1546
  19. 19.What is 18³? =
  20. 20.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  21. 21.What is 3³? =
  22. 22.What is ∛15625? =
  23. 23.A big cube of edge 6 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 16 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  26. 26.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.Which of these is a perfect cube? (a) 41 (b) 27 (c) 50
  28. 28.What is 11³? =
  29. 29.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛512? =
  31. 31.Which of these is a perfect cube? (a) 3482 (b) 3375 (c) 3787
  32. 32.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  34. 34.What is 8³? =
  35. 35.What is ∛125? =
  36. 36.Which of these is a perfect cube? (a) 216 (b) 248 (c) 296
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.What is ∛1000? =
  39. 39.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛27? =

Answer key

  1. 13
  2. 21
  3. 14
  4. 13
  5. 1728
  6. 5
  7. 19
  8. 8
  9. 8
  10. 216
  11. 24
  12. 27
  13. 6
  14. 343
  15. 125
  16. 2197
  17. 18
  18. 1331
  19. 5832
  20. 17
  21. 27
  22. 25
  23. 216
  24. 2
  25. 4
  26. 64
  27. 27
  28. 1331
  29. 9
  30. 8
  31. 3375
  32. 7
  33. 14
  34. 512
  35. 5
  36. 216
  37. 8
  38. 10
  39. 10
  40. 3

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