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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 761 · 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.What is ∛343? =
  2. 2.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  3. 3.What is 8³? =
  4. 4.What is 17³? =
  5. 5.Which of these is a perfect cube? (a) 729 (b) 760 (c) 966
  6. 6.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 1655 (b) 1331 (c) 1535
  11. 11.What is 13³? =
  12. 12.What is 5³? =
  13. 13.Which of these is a perfect cube? (a) 216 (b) 270 (c) 257
  14. 14.What is ∛8000? =
  15. 15.What is ∛3375? =
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛1000? =
  19. 19.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  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 the smallest whole number by which 648 must be multiplied to get a perfect cube?
  23. 23.What is ∛64? =
  24. 24.Which of these is a perfect cube? (a) 1768 (b) 2110 (c) 1728
  25. 25.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 3176 (b) 3248 (c) 2744
  27. 27.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 69 (b) 90 (c) 64
  29. 29.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  30. 30.What is 19³? =
  31. 31.What is ∛729? =
  32. 32.Which of these is a perfect cube? (a) 670 (b) 542 (c) 512
  33. 33.Which of these is a perfect cube? (a) 35 (b) 44 (c) 27
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 194 (b) 168 (c) 125
  37. 37.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.What is ∛6859? =
  40. 40.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 7
  2. 17
  3. 512
  4. 4913
  5. 729
  6. 64
  7. 64
  8. 20
  9. 12
  10. 1331
  11. 2197
  12. 125
  13. 216
  14. 20
  15. 15
  16. 8
  17. 8
  18. 10
  19. 5
  20. 7
  21. 64
  22. 9
  23. 4
  24. 1728
  25. 49
  26. 2744
  27. 3
  28. 64
  29. 25
  30. 6859
  31. 9
  32. 512
  33. 27
  34. 64
  35. 6
  36. 125
  37. 49
  38. 27
  39. 19
  40. 125

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