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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 846 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛2744? =
  3. 3.What is ∛12167? =
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 3³? =
  10. 10.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1282 (b) 1157 (c) 1000
  12. 12.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  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.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  16. 16.What is ∛3375? =
  17. 17.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 2336 (b) 2500 (c) 2197
  20. 20.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  21. 21.What is 15³? =
  22. 22.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 42 (b) 32 (c) 27
  25. 25.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  26. 26.What is 12³? =
  27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  29. 29.What is 14³? =
  30. 30.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  31. 31.What is ∛2197? =
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.What is 7³? =
  34. 34.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.What is 4³? =
  37. 37.What is ∛4913? =
  38. 38.Which of these is a perfect cube? (a) 512 (b) 577 (c) 612
  39. 39.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?

Answer key

  1. 11
  2. 14
  3. 23
  4. 27
  5. 64
  6. 8
  7. 7
  8. 216
  9. 27
  10. 16
  11. 1000
  12. 125
  13. 125
  14. 7
  15. 7
  16. 15
  17. 8
  18. 3
  19. 2197
  20. 20
  21. 3375
  22. 4
  23. 5
  24. 27
  25. 17
  26. 1728
  27. 4
  28. 25
  29. 2744
  30. 9
  31. 13
  32. 8
  33. 343
  34. 27
  35. 2
  36. 64
  37. 17
  38. 512
  39. 19
  40. 14

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