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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 287 · 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 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  2. 2.Which of these is a perfect cube? (a) 3375 (b) 3693 (c) 3813
  3. 3.What is 18³? =
  4. 4.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 109 (b) 64 (c) 79
  6. 6.What is ∛5832? =
  7. 7.What is 10³? =
  8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.What is ∛729? =
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is 4³? =
  13. 13.What is ∛27? =
  14. 14.What is 13³? =
  15. 15.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is 5³? =
  17. 17.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  18. 18.What is 11³? =
  19. 19.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  20. 20.What is ∛125? =
  21. 21.Which of these is a perfect cube? (a) 867 (b) 951 (c) 729
  22. 22.What is ∛1728? =
  23. 23.What is 20³? =
  24. 24.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  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 big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛8000? =
  31. 31.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 669 (b) 512 (c) 588
  33. 33.Which of these is a perfect cube? (a) 1192 (b) 1000 (c) 1151
  34. 34.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  36. 36.What is 16³? =
  37. 37.What is ∛2744? =
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛8? =
  40. 40.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 8
  2. 3375
  3. 5832
  4. 4
  5. 64
  6. 18
  7. 1000
  8. 17
  9. 8
  10. 9
  11. 216
  12. 64
  13. 3
  14. 2197
  15. 8
  16. 125
  17. 3
  18. 1331
  19. 4
  20. 5
  21. 729
  22. 12
  23. 8000
  24. 19
  25. 125
  26. 27
  27. 64
  28. 3
  29. 13
  30. 20
  31. 125
  32. 512
  33. 1000
  34. 7
  35. 4
  36. 4096
  37. 14
  38. 27
  39. 2
  40. 216

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