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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 40 · 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.Which of these is a perfect cube? (a) 244 (b) 216 (c) 321
  2. 2.Which of these is a perfect cube? (a) 2065 (b) 2153 (c) 1728
  3. 3.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.What is ∛1000? =
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 1571 (b) 1331 (c) 1563
  8. 8.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  9. 9.What is 19³? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is 18³? =
  13. 13.What is 5³? =
  14. 14.What is ∛125? =
  15. 15.What is ∛729? =
  16. 16.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  20. 20.What is 15³? =
  21. 21.Which of these is a perfect cube? (a) 1013 (b) 1012 (c) 1000
  22. 22.What is 10³? =
  23. 23.What is ∛1331? =
  24. 24.What is 3³? =
  25. 25.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  27. 27.What is 8³? =
  28. 28.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛9261? =
  30. 30.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  31. 31.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  32. 32.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  33. 33.What is ∛8000? =
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is 11³? =
  36. 36.What is ∛2197? =
  37. 37.What is ∛10648? =
  38. 38.Which of these is a perfect cube? (a) 512 (b) 544 (c) 541
  39. 39.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  40. 40.What is 9³? =

Answer key

  1. 216
  2. 1728
  3. 216
  4. 10
  5. 5
  6. 14
  7. 1331
  8. 3
  9. 6859
  10. 8
  11. 8
  12. 5832
  13. 125
  14. 5
  15. 9
  16. 125
  17. 9
  18. 4
  19. 4
  20. 3375
  21. 1000
  22. 1000
  23. 11
  24. 27
  25. 2
  26. 7
  27. 512
  28. 9
  29. 21
  30. 49
  31. 6
  32. 4
  33. 20
  34. 216
  35. 1331
  36. 13
  37. 22
  38. 512
  39. 2
  40. 729

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