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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 704 · 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 big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.What is 10³? =
  3. 3.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 3589 (b) 3375 (c) 3627
  5. 5.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  6. 6.What is ∛2197? =
  7. 7.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  8. 8.What is ∛125? =
  9. 9.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  10. 10.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 15³? =
  12. 12.What is ∛3375? =
  13. 13.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.What is ∛1331? =
  15. 15.Which of these is a perfect cube? (a) 1897 (b) 1860 (c) 1728
  16. 16.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  17. 17.What is 18³? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.What is ∛27? =
  20. 20.What is 16³? =
  21. 21.Which of these is a perfect cube? (a) 125 (b) 160 (c) 139
  22. 22.What is 13³? =
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is 11³? =
  26. 26.What is 12³? =
  27. 27.What is ∛512? =
  28. 28.Which of these is a perfect cube? (a) 1290 (b) 1000 (c) 1223
  29. 29.What is ∛8? =
  30. 30.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  31. 31.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 297 (b) 216 (c) 249
  34. 34.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  35. 35.What is ∛10648? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  39. 39.What is 8³? =
  40. 40.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?

Answer key

  1. 125
  2. 1000
  3. 8
  4. 3375
  5. 4
  6. 13
  7. 17
  8. 5
  9. 2
  10. 216
  11. 3375
  12. 15
  13. 8
  14. 11
  15. 1728
  16. 7
  17. 5832
  18. 2
  19. 3
  20. 4096
  21. 125
  22. 2197
  23. 27
  24. 27
  25. 1331
  26. 1728
  27. 8
  28. 1000
  29. 2
  30. 5
  31. 20
  32. 13
  33. 216
  34. 5
  35. 22
  36. 216
  37. 4
  38. 19
  39. 512
  40. 15

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