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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 168 · 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 the smallest whole number by which 56 must be multiplied to get a perfect cube?
  2. 2.Which of these is a perfect cube? (a) 50 (b) 52 (c) 27
  3. 3.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  4. 4.What is 17³? =
  5. 5.What is 11³? =
  6. 6.What is 8³? =
  7. 7.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  8. 8.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  9. 9.What is 5³? =
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is 20³? =
  14. 14.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  15. 15.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛12167? =
  18. 18.What is ∛216? =
  19. 19.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  20. 20.What is 4³? =
  21. 21.Which of these is a perfect cube? (a) 177 (b) 196 (c) 125
  22. 22.Which of these is a perfect cube? (a) 3518 (b) 3375 (c) 3770
  23. 23.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  25. 25.What is ∛125? =
  26. 26.What is 14³? =
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  30. 30.Which of these is a perfect cube? (a) 1653 (b) 1474 (c) 1331
  31. 31.What is 7³? =
  32. 32.What is ∛4096? =
  33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛3375? =
  35. 35.Which of these is a perfect cube? (a) 2459 (b) 2197 (c) 2277
  36. 36.What is 16³? =
  37. 37.What is 12³? =
  38. 38.What is ∛2197? =
  39. 39.Which of these is a perfect cube? (a) 729 (b) 915 (c) 945
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 49
  2. 27
  3. 20
  4. 4913
  5. 1331
  6. 512
  7. 49
  8. 6
  9. 125
  10. 10
  11. 216
  12. 8
  13. 8000
  14. 5
  15. 12
  16. 11
  17. 23
  18. 6
  19. 19
  20. 64
  21. 125
  22. 3375
  23. 13
  24. 5
  25. 5
  26. 2744
  27. 5
  28. 125
  29. 125
  30. 1331
  31. 343
  32. 16
  33. 9
  34. 15
  35. 2197
  36. 4096
  37. 1728
  38. 13
  39. 729
  40. 64

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