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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 295 · 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 big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  4. 4.Which of these is a perfect cube? (a) 1293 (b) 1160 (c) 1000
  5. 5.What is ∛2744? =
  6. 6.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  7. 7.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  9. 9.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 1607 (b) 1331 (c) 1419
  11. 11.What is ∛13824? =
  12. 12.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  13. 13.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  14. 14.What is 17³? =
  15. 15.What is 3³? =
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.What is ∛4913? =
  18. 18.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  19. 19.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.What is ∛9261? =
  22. 22.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  23. 23.What is ∛27? =
  24. 24.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  25. 25.What is ∛125? =
  26. 26.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  28. 28.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is 20³? =
  31. 31.Which of these is a perfect cube? (a) 35 (b) 27 (c) 42
  32. 32.What is ∛2197? =
  33. 33.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  35. 35.What is 13³? =
  36. 36.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  38. 38.What is 5³? =
  39. 39.What is 11³? =
  40. 40.What is ∛1728? =

Answer key

  1. 216
  2. 27
  3. 25
  4. 1000
  5. 14
  6. 49
  7. 25
  8. 9
  9. 7
  10. 1331
  11. 24
  12. 2
  13. 3
  14. 4913
  15. 27
  16. 14
  17. 17
  18. 2
  19. 20
  20. 27
  21. 21
  22. 12
  23. 3
  24. 5
  25. 5
  26. 64
  27. 25
  28. 8
  29. 125
  30. 8000
  31. 27
  32. 13
  33. 7
  34. 3
  35. 2197
  36. 216
  37. 9
  38. 125
  39. 1331
  40. 12

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