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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 837 · 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 1728 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 3375 (b) 3735 (c) 3997
  6. 6.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is ∛1331? =
  9. 9.What is 5³? =
  10. 10.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.What is ∛4096? =
  13. 13.What is ∛729? =
  14. 14.What is ∛216? =
  15. 15.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.Which of these is a perfect cube? (a) 155 (b) 128 (c) 125
  18. 18.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 27 (b) 43 (c) 47
  20. 20.What is ∛8000? =
  21. 21.Which of these is a perfect cube? (a) 1347 (b) 1331 (c) 1385
  22. 22.What is 15³? =
  23. 23.What is 12³? =
  24. 24.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 2248 (b) 2611 (c) 2197
  26. 26.What is ∛10648? =
  27. 27.What is 13³? =
  28. 28.What is ∛512? =
  29. 29.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  30. 30.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  32. 32.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 54 must be divided to get a perfect cube?
  34. 34.What is 2³? =
  35. 35.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛343? =
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is 19³? =
  39. 39.What is ∛4913? =
  40. 40.What is ∛8? =

Answer key

  1. 12
  2. 6
  3. 216
  4. 27
  5. 3375
  6. 3
  7. 8
  8. 11
  9. 125
  10. 4
  11. 8
  12. 16
  13. 9
  14. 6
  15. 125
  16. 125
  17. 125
  18. 4
  19. 27
  20. 20
  21. 1331
  22. 3375
  23. 1728
  24. 27
  25. 2197
  26. 22
  27. 2197
  28. 8
  29. 4
  30. 16
  31. 4
  32. 7
  33. 2
  34. 8
  35. 20
  36. 7
  37. 64
  38. 6859
  39. 17
  40. 2

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