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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 988 · 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 343 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.What is ∛1331? =
  7. 7.What is ∛12167? =
  8. 8.What is ∛5832? =
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.What is 14³? =
  11. 11.What is 3³? =
  12. 12.Which of these is a perfect cube? (a) 125 (b) 156 (c) 178
  13. 13.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  14. 14.What is 11³? =
  15. 15.What is ∛729? =
  16. 16.What is 5³? =
  17. 17.What is 13³? =
  18. 18.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  19. 19.What is 9³? =
  20. 20.Which of these is a perfect cube? (a) 77 (b) 64 (c) 67
  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 6³? =
  23. 23.What is 4³? =
  24. 24.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  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 the smallest whole number by which 7 must be divided to get a perfect cube?
  27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛10648? =
  31. 31.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛64? =
  34. 34.Which of these is a perfect cube? (a) 53 (b) 27 (c) 35
  35. 35.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.What is 20³? =
  38. 38.Which of these is a perfect cube? (a) 620 (b) 554 (c) 512
  39. 39.Which of these is a perfect cube? (a) 343 (b) 431 (c) 409
  40. 40.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?

Answer key

  1. 7
  2. 216
  3. 17
  4. 4
  5. 8
  6. 11
  7. 23
  8. 18
  9. 8
  10. 2744
  11. 27
  12. 125
  13. 2
  14. 1331
  15. 9
  16. 125
  17. 2197
  18. 9
  19. 729
  20. 64
  21. 64
  22. 216
  23. 64
  24. 27
  25. 64
  26. 7
  27. 8
  28. 15
  29. 13
  30. 22
  31. 7
  32. 12
  33. 4
  34. 27
  35. 5
  36. 6
  37. 8000
  38. 512
  39. 343
  40. 49

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