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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 178 · 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.Which of these is a perfect cube? (a) 35 (b) 34 (c) 27
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 64 (b) 75 (c) 96
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  6. 6.What is ∛1728? =
  7. 7.A cube has a volume of 125 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 3 cm. How many small cubes are there?
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛1331? =
  11. 11.What is 18³? =
  12. 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 614 (b) 512 (c) 675
  15. 15.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  16. 16.What is 2³? =
  17. 17.What is 6³? =
  18. 18.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 2197 (b) 2269 (c) 2487
  20. 20.What is ∛8000? =
  21. 21.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  22. 22.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  23. 23.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 1532 (b) 1347 (c) 1331
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 2917 (b) 2744 (c) 3082
  28. 28.What is 17³? =
  29. 29.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 367 (b) 345 (c) 343
  31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  32. 32.What is 5³? =
  33. 33.What is 12³? =
  34. 34.What is ∛512? =
  35. 35.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  36. 36.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 11³? =
  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 19³? =

Answer key

  1. 27
  2. 8
  3. 64
  4. 27
  5. 25
  6. 12
  7. 5
  8. 64
  9. 8
  10. 11
  11. 5832
  12. 27
  13. 7
  14. 512
  15. 4
  16. 8
  17. 216
  18. 216
  19. 2197
  20. 20
  21. 9
  22. 49
  23. 216
  24. 64
  25. 1331
  26. 19
  27. 2744
  28. 4913
  29. 11
  30. 343
  31. 3
  32. 125
  33. 1728
  34. 8
  35. 7
  36. 125
  37. 8
  38. 1331
  39. 64
  40. 6859

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