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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 463 · 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 6³? =
  2. 2.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 1684 (b) 1331 (c) 1571
  5. 5.What is 12³? =
  6. 6.What is 16³? =
  7. 7.What is 8³? =
  8. 8.What is 2³? =
  9. 9.What is ∛1331? =
  10. 10.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  12. 12.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 301 (b) 216 (c) 285
  14. 14.What is 10³? =
  15. 15.Which of these is a perfect cube? (a) 1875 (b) 1966 (c) 1728
  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.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  19. 19.What is the smallest whole number by which 1125 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  21. 21.What is ∛8? =
  22. 22.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  23. 23.What is ∛27? =
  24. 24.Which of these is a perfect cube? (a) 2744 (b) 3049 (c) 3086
  25. 25.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is ∛512? =
  30. 30.What is ∛729? =
  31. 31.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  35. 35.What is 9³? =
  36. 36.What is 7³? =
  37. 37.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  40. 40.What is 14³? =

Answer key

  1. 216
  2. 3
  3. 4
  4. 1331
  5. 1728
  6. 4096
  7. 512
  8. 8
  9. 11
  10. 7
  11. 13
  12. 19
  13. 216
  14. 1000
  15. 1728
  16. 8
  17. 15
  18. 5
  19. 9
  20. 3
  21. 2
  22. 4
  23. 3
  24. 2744
  25. 17
  26. 125
  27. 64
  28. 8
  29. 8
  30. 9
  31. 125
  32. 216
  33. 8
  34. 4
  35. 729
  36. 343
  37. 2
  38. 8
  39. 25
  40. 2744

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