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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 417 · 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 16³? =
  2. 2.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is ∛729? =
  6. 6.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 1728 (b) 2074 (c) 1883
  8. 8.What is ∛125? =
  9. 9.What is 18³? =
  10. 10.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1184 (b) 1182 (c) 1000
  12. 12.What is ∛1331? =
  13. 13.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  15. 15.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.Which of these is a perfect cube? (a) 39 (b) 46 (c) 27
  17. 17.What is ∛8? =
  18. 18.What is 5³? =
  19. 19.What is ∛64? =
  20. 20.What is 10³? =
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 10 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 108 must be multiplied to get a perfect cube?
  25. 25.What is ∛27? =
  26. 26.Which of these is a perfect cube? (a) 3549 (b) 3564 (c) 3375
  27. 27.What is 17³? =
  28. 28.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 920 (b) 729 (c) 970
  30. 30.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  31. 31.Which of these is a perfect cube? (a) 1656 (b) 1382 (c) 1331
  32. 32.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  34. 34.What is 7³? =
  35. 35.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  36. 36.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 94 (b) 83 (c) 64
  38. 38.Which of these is a perfect cube? (a) 144 (b) 200 (c) 125
  39. 39.What is ∛1728? =
  40. 40.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 4096
  2. 4
  3. 14
  4. 216
  5. 9
  6. 25
  7. 1728
  8. 5
  9. 5832
  10. 8
  11. 1000
  12. 11
  13. 27
  14. 5
  15. 27
  16. 27
  17. 2
  18. 125
  19. 4
  20. 1000
  21. 64
  22. 5
  23. 125
  24. 2
  25. 3
  26. 3375
  27. 4913
  28. 49
  29. 729
  30. 4
  31. 1331
  32. 216
  33. 25
  34. 343
  35. 64
  36. 13
  37. 64
  38. 125
  39. 12
  40. 20

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