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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 256 · 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 9³? =
  2. 2.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  3. 3.What is ∛125? =
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛729? =
  6. 6.Which of these is a perfect cube? (a) 125 (b) 162 (c) 167
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  9. 9.What is ∛3375? =
  10. 10.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is ∛15625? =
  13. 13.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  14. 14.What is ∛5832? =
  15. 15.Which of these is a perfect cube? (a) 2303 (b) 2511 (c) 2197
  16. 16.Which of these is a perfect cube? (a) 1604 (b) 1331 (c) 1363
  17. 17.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is ∛1728? =
  21. 21.What is ∛8? =
  22. 22.What is 4³? =
  23. 23.What is 2³? =
  24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛4096? =
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is ∛27? =
  29. 29.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  31. 31.What is ∛512? =
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is ∛1331? =
  34. 34.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  36. 36.What is 5³? =
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  39. 39.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?

Answer key

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

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