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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 925 · 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 cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  2. 2.What is 17³? =
  3. 3.Which of these is a perfect cube? (a) 182 (b) 125 (c) 149
  4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  6. 6.What is ∛3375? =
  7. 7.What is 4³? =
  8. 8.Which of these is a perfect cube? (a) 382 (b) 343 (c) 471
  9. 9.What is 11³? =
  10. 10.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  11. 11.What is ∛512? =
  12. 12.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 12³? =
  15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 1242 (b) 1000 (c) 1070
  17. 17.What is ∛2744? =
  18. 18.What is ∛10648? =
  19. 19.What is ∛125? =
  20. 20.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  21. 21.What is ∛64? =
  22. 22.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is 19³? =
  26. 26.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 64 (b) 89 (c) 78
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛1331? =
  30. 30.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  31. 31.What is 5³? =
  32. 32.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.What is 9³? =
  35. 35.Which of these is a perfect cube? (a) 3457 (b) 3813 (c) 3375
  36. 36.What is 16³? =
  37. 37.What is ∛2197? =
  38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛8000? =
  40. 40.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?

Answer key

  1. 15
  2. 4913
  3. 125
  4. 64
  5. 8
  6. 15
  7. 64
  8. 343
  9. 1331
  10. 5
  11. 8
  12. 125
  13. 216
  14. 1728
  15. 27
  16. 1000
  17. 14
  18. 22
  19. 5
  20. 49
  21. 4
  22. 6
  23. 4
  24. 27
  25. 6859
  26. 2
  27. 64
  28. 3
  29. 11
  30. 25
  31. 125
  32. 125
  33. 11
  34. 729
  35. 3375
  36. 4096
  37. 13
  38. 5
  39. 20
  40. 9

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