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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 84 · 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 ∛64? =
  2. 2.Which of these is a perfect cube? (a) 2744 (b) 2938 (c) 2771
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is 8³? =
  5. 5.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 64 (b) 73 (c) 93
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  9. 9.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛8? =
  11. 11.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.What is ∛13824? =
  13. 13.What is 6³? =
  14. 14.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  20. 20.What is 14³? =
  21. 21.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  25. 25.What is 16³? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  29. 29.What is 15³? =
  30. 30.What is 11³? =
  31. 31.A big cube of edge 8 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) 1688 (b) 1331 (c) 1571
  33. 33.What is ∛512? =
  34. 34.What is ∛27? =
  35. 35.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  36. 36.What is ∛10648? =
  37. 37.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  38. 38.Which of these is a perfect cube? (a) 1147 (b) 1000 (c) 1137
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4
  2. 2744
  3. 125
  4. 512
  5. 3
  6. 64
  7. 8
  8. 8
  9. 19
  10. 2
  11. 216
  12. 24
  13. 216
  14. 14
  15. 2
  16. 7
  17. 64
  18. 4
  19. 7
  20. 2744
  21. 9
  22. 3
  23. 216
  24. 7
  25. 4096
  26. 27
  27. 18
  28. 2
  29. 3375
  30. 1331
  31. 64
  32. 1331
  33. 8
  34. 3
  35. 7
  36. 22
  37. 5
  38. 1000
  39. 20
  40. 6

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