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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 656 · 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.What is ∛2744? =
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  5. 5.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is ∛216? =
  8. 8.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛125? =
  10. 10.What is 8³? =
  11. 11.Which of these is a perfect cube? (a) 3434 (b) 3375 (c) 3424
  12. 12.What is ∛1000? =
  13. 13.What is ∛3375? =
  14. 14.What is 18³? =
  15. 15.What is ∛15625? =
  16. 16.What is ∛9261? =
  17. 17.Which of these is a perfect cube? (a) 1331 (b) 1424 (c) 1457
  18. 18.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  21. 21.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is 6³? =
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 741 (b) 729 (c) 734
  27. 27.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  29. 29.What is 13³? =
  30. 30.What is ∛12167? =
  31. 31.What is 15³? =
  32. 32.Which of these is a perfect cube? (a) 1761 (b) 1728 (c) 1920
  33. 33.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 343 (b) 423 (c) 480
  35. 35.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.What is 16³? =
  37. 37.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  38. 38.What is ∛6859? =
  39. 39.Which of these is a perfect cube? (a) 54 (b) 27 (c) 43
  40. 40.Which of these is a perfect cube? (a) 571 (b) 512 (c) 560

Answer key

  1. 14
  2. 14
  3. 6
  4. 25
  5. 27
  6. 125
  7. 6
  8. 8
  9. 5
  10. 512
  11. 3375
  12. 10
  13. 15
  14. 5832
  15. 25
  16. 21
  17. 1331
  18. 49
  19. 7
  20. 4
  21. 216
  22. 27
  23. 216
  24. 12
  25. 8
  26. 729
  27. 27
  28. 13
  29. 2197
  30. 23
  31. 3375
  32. 1728
  33. 2
  34. 343
  35. 8
  36. 4096
  37. 9
  38. 19
  39. 27
  40. 512

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