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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 891 · 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 11³? =
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is 4³? =
  4. 4.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 729 (b) 931 (c) 844
  7. 7.Which of these is a perfect cube? (a) 86 (b) 64 (c) 70
  8. 8.What is ∛2744? =
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 2813 (b) 2744 (c) 2803
  13. 13.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  14. 14.What is ∛2197? =
  15. 15.What is ∛9261? =
  16. 16.What is ∛729? =
  17. 17.What is ∛125? =
  18. 18.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is 8³? =
  21. 21.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  22. 22.What is ∛5832? =
  23. 23.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  24. 24.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  25. 25.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  26. 26.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 16³? =
  28. 28.What is 12³? =
  29. 29.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  30. 30.What is 19³? =
  31. 31.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  33. 33.Which of these is a perfect cube? (a) 162 (b) 125 (c) 143
  34. 34.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.What is ∛64? =
  36. 36.What is ∛1331? =
  37. 37.What is 3³? =
  38. 38.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  39. 39.What is 5³? =
  40. 40.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?

Answer key

  1. 1331
  2. 12
  3. 64
  4. 2
  5. 5
  6. 729
  7. 64
  8. 14
  9. 4
  10. 2
  11. 8
  12. 2744
  13. 7
  14. 13
  15. 21
  16. 9
  17. 5
  18. 2
  19. 27
  20. 512
  21. 7
  22. 18
  23. 2
  24. 4
  25. 125
  26. 216
  27. 4096
  28. 1728
  29. 9
  30. 6859
  31. 5
  32. 15
  33. 125
  34. 216
  35. 4
  36. 11
  37. 27
  38. 9
  39. 125
  40. 9

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