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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 801 · 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 ∛2744? =
  2. 2.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is ∛12167? =
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.What is 2³? =
  8. 8.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  11. 11.Which of these is a perfect cube? (a) 1429 (b) 1489 (c) 1331
  12. 12.Which of these is a perfect cube? (a) 1000 (b) 1068 (c) 1295
  13. 13.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  14. 14.What is 8³? =
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is ∛27? =
  18. 18.What is 12³? =
  19. 19.What is ∛216? =
  20. 20.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is ∛4913? =
  22. 22.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  23. 23.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is 4³? =
  26. 26.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 383 (b) 343 (c) 465
  28. 28.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  29. 29.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛13824? =
  31. 31.What is ∛3375? =
  32. 32.Which of these is a perfect cube? (a) 3846 (b) 3444 (c) 3375
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  35. 35.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  36. 36.What is 5³? =
  37. 37.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  38. 38.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  39. 39.What is 17³? =
  40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

Answer key

  1. 14
  2. 14
  3. 9
  4. 64
  5. 23
  6. 20
  7. 8
  8. 7
  9. 216
  10. 5
  11. 1331
  12. 1000
  13. 5
  14. 512
  15. 64
  16. 8
  17. 3
  18. 1728
  19. 6
  20. 216
  21. 17
  22. 49
  23. 5
  24. 64
  25. 64
  26. 9
  27. 343
  28. 49
  29. 17
  30. 24
  31. 15
  32. 3375
  33. 27
  34. 4
  35. 3
  36. 125
  37. 8
  38. 3
  39. 4913
  40. 7

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