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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 425 · 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 ∛10648? =
  2. 2.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  3. 3.Which of these is a perfect cube? (a) 2514 (b) 2197 (c) 2338
  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.What is 10³? =
  6. 6.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  7. 7.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 1593 (b) 1524 (c) 1331
  11. 11.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 406 (b) 352 (c) 343
  13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  14. 14.What is ∛2197? =
  15. 15.Which of these is a perfect cube? (a) 512 (b) 585 (c) 662
  16. 16.What is 4³? =
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛27? =
  20. 20.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  21. 21.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛125? =
  24. 24.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  26. 26.What is ∛3375? =
  27. 27.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  28. 28.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  29. 29.What is 5³? =
  30. 30.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is ∛15625? =
  32. 32.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 163 (b) 170 (c) 125
  36. 36.What is 6³? =
  37. 37.What is 3³? =
  38. 38.What is ∛64? =
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛2744? =

Answer key

  1. 22
  2. 9
  3. 2197
  4. 64
  5. 1000
  6. 2
  7. 9
  8. 20
  9. 12
  10. 1331
  11. 3
  12. 343
  13. 6
  14. 13
  15. 512
  16. 64
  17. 8
  18. 14
  19. 3
  20. 8
  21. 10
  22. 15
  23. 5
  24. 64
  25. 49
  26. 15
  27. 2
  28. 4
  29. 125
  30. 125
  31. 25
  32. 49
  33. 3
  34. 13
  35. 125
  36. 216
  37. 27
  38. 4
  39. 125
  40. 14

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