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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 882 · 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 big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  2. 2.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  6. 6.What is ∛729? =
  7. 7.Which of these is a perfect cube? (a) 3892 (b) 3375 (c) 3973
  8. 8.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  10. 10.What is ∛4913? =
  11. 11.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  13. 13.What is ∛343? =
  14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is 13³? =
  16. 16.What is 17³? =
  17. 17.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  18. 18.What is ∛2197? =
  19. 19.Which of these is a perfect cube? (a) 125 (b) 181 (c) 170
  20. 20.What is ∛64? =
  21. 21.What is ∛10648? =
  22. 22.What is 11³? =
  23. 23.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.Which of these is a perfect cube? (a) 48 (b) 34 (c) 27
  26. 26.What is 5³? =
  27. 27.What is ∛2744? =
  28. 28.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  29. 29.What is 4³? =
  30. 30.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  31. 31.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.Which of these is a perfect cube? (a) 2051 (b) 1728 (c) 1754
  33. 33.Which of these is a perfect cube? (a) 2663 (b) 2642 (c) 2197
  34. 34.Which of these is a perfect cube? (a) 1143 (b) 1225 (c) 1000
  35. 35.What is ∛27? =
  36. 36.What is 3³? =
  37. 37.What is the smallest whole number by which 392 must be divided 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 ∛15625? =
  40. 40.What is the smallest whole number by which 189 must be divided to get a perfect cube?

Answer key

  1. 216
  2. 2
  3. 8
  4. 216
  5. 7
  6. 9
  7. 3375
  8. 125
  9. 3
  10. 17
  11. 216
  12. 25
  13. 7
  14. 27
  15. 2197
  16. 4913
  17. 6
  18. 13
  19. 125
  20. 4
  21. 22
  22. 1331
  23. 9
  24. 12
  25. 27
  26. 125
  27. 14
  28. 4
  29. 64
  30. 2
  31. 125
  32. 1728
  33. 2197
  34. 1000
  35. 3
  36. 27
  37. 49
  38. 8
  39. 25
  40. 7

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