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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 622 · 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 8 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛125? =
  3. 3.What is 20³? =
  4. 4.What is ∛12167? =
  5. 5.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  6. 6.What is 10³? =
  7. 7.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  8. 8.What is ∛3375? =
  9. 9.What is 4³? =
  10. 10.Which of these is a perfect cube? (a) 216 (b) 296 (c) 226
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is ∛729? =
  15. 15.What is ∛4913? =
  16. 16.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 27 (b) 39 (c) 29
  18. 18.What is 14³? =
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  21. 21.What is ∛512? =
  22. 22.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  25. 25.What is ∛216? =
  26. 26.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  28. 28.What is 7³? =
  29. 29.What is ∛2197? =
  30. 30.What is ∛64? =
  31. 31.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 2758 (b) 2744 (c) 2970
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 173 (b) 132 (c) 125
  35. 35.What is ∛13824? =
  36. 36.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

Answer key

  1. 2
  2. 5
  3. 8000
  4. 23
  5. 2
  6. 1000
  7. 25
  8. 15
  9. 64
  10. 216
  11. 12
  12. 25
  13. 8
  14. 9
  15. 17
  16. 64
  17. 27
  18. 2744
  19. 27
  20. 7
  21. 8
  22. 64
  23. 6
  24. 3
  25. 6
  26. 3
  27. 7
  28. 343
  29. 13
  30. 4
  31. 7
  32. 2744
  33. 216
  34. 125
  35. 24
  36. 8
  37. 49
  38. 18
  39. 9
  40. 7

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