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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 444 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.What is 17³? =
  4. 4.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  5. 5.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 5³? =
  9. 9.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  12. 12.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  14. 14.What is ∛729? =
  15. 15.What is ∛10648? =
  16. 16.What is ∛9261? =
  17. 17.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛2744? =
  19. 19.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  20. 20.What is 8³? =
  21. 21.What is ∛4096? =
  22. 22.What is ∛512? =
  23. 23.Which of these is a perfect cube? (a) 665 (b) 512 (c) 588
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.What is 4³? =
  27. 27.What is ∛6859? =
  28. 28.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  29. 29.What is 19³? =
  30. 30.What is ∛343? =
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  35. 35.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  37. 37.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 10³? =
  39. 39.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  40. 40.Which of these is a perfect cube? (a) 186 (b) 125 (c) 135

Answer key

  1. 18
  2. 2
  3. 4913
  4. 49
  5. 8
  6. 9
  7. 8
  8. 125
  9. 4
  10. 4
  11. 25
  12. 216
  13. 4
  14. 9
  15. 22
  16. 21
  17. 16
  18. 14
  19. 7
  20. 512
  21. 16
  22. 8
  23. 512
  24. 12
  25. 64
  26. 64
  27. 19
  28. 49
  29. 6859
  30. 7
  31. 216
  32. 125
  33. 27
  34. 10
  35. 49
  36. 5
  37. 27
  38. 1000
  39. 7
  40. 125

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