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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 157 · 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 216 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  6. 6.What is 12³? =
  7. 7.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 1608 (b) 1593 (c) 1331
  9. 9.What is ∛125? =
  10. 10.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 2084 (b) 2106 (c) 1728
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛27? =
  16. 16.What is ∛1331? =
  17. 17.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  18. 18.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛2197? =
  21. 21.Which of these is a perfect cube? (a) 1196 (b) 1000 (c) 1018
  22. 22.What is 7³? =
  23. 23.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  24. 24.What is 2³? =
  25. 25.What is ∛1000? =
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  28. 28.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  29. 29.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 17³? =
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 96 (b) 73 (c) 64
  34. 34.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  36. 36.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.What is 20³? =
  40. 40.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?

Answer key

  1. 6
  2. 64
  3. 5
  4. 27
  5. 2
  6. 1728
  7. 9
  8. 1331
  9. 5
  10. 9
  11. 49
  12. 1728
  13. 216
  14. 12
  15. 3
  16. 11
  17. 25
  18. 25
  19. 7
  20. 13
  21. 1000
  22. 343
  23. 2
  24. 8
  25. 10
  26. 10
  27. 13
  28. 4
  29. 8
  30. 4913
  31. 64
  32. 2
  33. 64
  34. 4
  35. 9
  36. 2
  37. 27
  38. 8
  39. 8000
  40. 4

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