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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 318 · 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 6859 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  3. 3.Which of these is a perfect cube? (a) 486 (b) 343 (c) 380
  4. 4.What is ∛10648? =
  5. 5.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  8. 8.What is ∛5832? =
  9. 9.What is 19³? =
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛3375? =
  12. 12.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is ∛343? =
  14. 14.What is ∛8000? =
  15. 15.What is ∛8? =
  16. 16.What is 2³? =
  17. 17.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 84 (b) 97 (c) 64
  20. 20.Which of these is a perfect cube? (a) 36 (b) 27 (c) 30
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛27? =
  23. 23.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is 7³? =
  27. 27.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is ∛13824? =
  32. 32.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  33. 33.What is 20³? =
  34. 34.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 1000 (b) 1277 (c) 1050
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛125? =
  38. 38.What is 8³? =
  39. 39.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  40. 40.What is 10³? =

Answer key

  1. 19
  2. 15
  3. 343
  4. 22
  5. 20
  6. 125
  7. 7
  8. 18
  9. 6859
  10. 18
  11. 15
  12. 27
  13. 7
  14. 20
  15. 2
  16. 8
  17. 7
  18. 125
  19. 64
  20. 27
  21. 64
  22. 3
  23. 216
  24. 10
  25. 64
  26. 343
  27. 8
  28. 3
  29. 49
  30. 216
  31. 24
  32. 5
  33. 8000
  34. 17
  35. 1000
  36. 6
  37. 5
  38. 512
  39. 2
  40. 1000

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