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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 592 · 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 4913 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  3. 3.What is ∛2197? =
  4. 4.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 64 (b) 90 (c) 92
  6. 6.Which of these is a perfect cube? (a) 125 (b) 126 (c) 131
  7. 7.What is 10³? =
  8. 8.What is 19³? =
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  12. 12.What is ∛8000? =
  13. 13.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  16. 16.What is 11³? =
  17. 17.Which of these is a perfect cube? (a) 2262 (b) 2526 (c) 2197
  18. 18.What is ∛27? =
  19. 19.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  20. 20.What is 9³? =
  21. 21.Which of these is a perfect cube? (a) 3493 (b) 3375 (c) 3621
  22. 22.What is 15³? =
  23. 23.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
  24. 24.A big cube of edge 4 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 4 cm. How many small cubes are there?
  26. 26.What is 17³? =
  27. 27.What is ∛4913? =
  28. 28.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is 4³? =
  34. 34.What is 14³? =
  35. 35.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  37. 37.What is 20³? =
  38. 38.What is ∛5832? =
  39. 39.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?

Answer key

  1. 17
  2. 5
  3. 13
  4. 20
  5. 64
  6. 125
  7. 1000
  8. 6859
  9. 64
  10. 6
  11. 9
  12. 20
  13. 13
  14. 2
  15. 25
  16. 1331
  17. 2197
  18. 3
  19. 9
  20. 729
  21. 3375
  22. 3375
  23. 5
  24. 64
  25. 8
  26. 4913
  27. 17
  28. 125
  29. 9
  30. 216
  31. 27
  32. 64
  33. 64
  34. 2744
  35. 14
  36. 18
  37. 8000
  38. 18
  39. 9
  40. 49

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