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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 231 · 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.What is 16³? =
  3. 3.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  4. 4.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 423 (b) 394 (c) 343
  6. 6.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 13³? =
  8. 8.What is ∛15625? =
  9. 9.What is ∛125? =
  10. 10.What is ∛343? =
  11. 11.Which of these is a perfect cube? (a) 2197 (b) 2242 (c) 2370
  12. 12.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛5832? =
  14. 14.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  16. 16.What is ∛9261? =
  17. 17.What is ∛1331? =
  18. 18.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛1000? =
  21. 21.What is ∛13824? =
  22. 22.What is 15³? =
  23. 23.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  24. 24.What is 19³? =
  25. 25.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  26. 26.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  28. 28.What is 2³? =
  29. 29.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is 9³? =
  32. 32.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 729 (b) 872 (c) 794
  36. 36.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is ∛10648? =
  38. 38.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  39. 39.What is 7³? =
  40. 40.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?

Answer key

  1. 19
  2. 4096
  3. 9
  4. 12
  5. 343
  6. 27
  7. 2197
  8. 25
  9. 5
  10. 7
  11. 2197
  12. 10
  13. 18
  14. 11
  15. 27
  16. 21
  17. 11
  18. 25
  19. 17
  20. 10
  21. 24
  22. 3375
  23. 3
  24. 6859
  25. 4
  26. 4
  27. 4
  28. 8
  29. 18
  30. 8
  31. 729
  32. 9
  33. 20
  34. 2
  35. 729
  36. 125
  37. 22
  38. 2
  39. 343
  40. 8

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