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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 122 · 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 2744 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  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.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  7. 7.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  9. 9.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  11. 11.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is 11³? =
  13. 13.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  15. 15.What is ∛8000? =
  16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛125? =
  22. 22.What is ∛4096? =
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  25. 25.Which of these is a perfect cube? (a) 27 (b) 36 (c) 29
  26. 26.What is 9³? =
  27. 27.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 187 (b) 125 (c) 200
  30. 30.Which of these is a perfect cube? (a) 238 (b) 216 (c) 317
  31. 31.What is 18³? =
  32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛8? =
  35. 35.Which of these is a perfect cube? (a) 1368 (b) 1523 (c) 1331
  36. 36.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 512 (b) 593 (c) 578
  38. 38.What is 2³? =
  39. 39.What is ∛3375? =
  40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 9
  3. 8
  4. 216
  5. 27
  6. 5
  7. 16
  8. 125
  9. 125
  10. 25
  11. 64
  12. 1331
  13. 2
  14. 7
  15. 20
  16. 125
  17. 216
  18. 25
  19. 8
  20. 12
  21. 5
  22. 16
  23. 27
  24. 25
  25. 27
  26. 729
  27. 27
  28. 7
  29. 125
  30. 216
  31. 5832
  32. 7
  33. 3
  34. 2
  35. 1331
  36. 15
  37. 512
  38. 8
  39. 15
  40. 19

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