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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 521 · 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 27 cubic cm. How long is each edge (in cm)?
  2. 2.What is 5³? =
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.What is 15³? =
  5. 5.What is 3³? =
  6. 6.What is ∛3375? =
  7. 7.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  8. 8.What is 14³? =
  9. 9.What is ∛2744? =
  10. 10.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  11. 11.Which of these is a perfect cube? (a) 27 (b) 50 (c) 34
  12. 12.What is ∛9261? =
  13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 675 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 3375 (b) 3952 (c) 3568
  16. 16.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  17. 17.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 343 (b) 433 (c) 431
  19. 19.What is ∛8? =
  20. 20.What is 7³? =
  21. 21.What is 6³? =
  22. 22.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛64? =
  28. 28.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  29. 29.What is ∛1331? =
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  32. 32.What is 11³? =
  33. 33.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 132 (b) 153 (c) 125
  35. 35.Which of these is a perfect cube? (a) 1977 (b) 1728 (c) 2060
  36. 36.What is ∛1728? =
  37. 37.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  38. 38.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  39. 39.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 3
  2. 125
  3. 12
  4. 3375
  5. 27
  6. 15
  7. 19
  8. 2744
  9. 14
  10. 3
  11. 27
  12. 21
  13. 14
  14. 25
  15. 3375
  16. 5
  17. 25
  18. 343
  19. 2
  20. 343
  21. 216
  22. 8
  23. 10
  24. 8
  25. 2
  26. 5
  27. 4
  28. 2
  29. 11
  30. 216
  31. 11
  32. 1331
  33. 49
  34. 125
  35. 1728
  36. 12
  37. 3
  38. 49
  39. 13
  40. 216

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