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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 887 · 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 7³? =
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛4096? =
  4. 4.What is ∛64? =
  5. 5.What is ∛8? =
  6. 6.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  8. 8.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.What is 3³? =
  10. 10.What is ∛4913? =
  11. 11.What is 16³? =
  12. 12.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 2197 (b) 2692 (c) 2381
  14. 14.Which of these is a perfect cube? (a) 3601 (b) 3375 (c) 3749
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  20. 20.What is ∛12167? =
  21. 21.What is ∛15625? =
  22. 22.What is ∛27? =
  23. 23.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  27. 27.What is ∛2744? =
  28. 28.What is 2³? =
  29. 29.Which of these is a perfect cube? (a) 216 (b) 302 (c) 240
  30. 30.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  31. 31.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is ∛512? =
  33. 33.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is 8³? =
  35. 35.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 880 (b) 871 (c) 729
  39. 39.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  40. 40.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?

Answer key

  1. 343
  2. 8
  3. 16
  4. 4
  5. 2
  6. 27
  7. 4
  8. 125
  9. 27
  10. 17
  11. 4096
  12. 11
  13. 2197
  14. 3375
  15. 3
  16. 14
  17. 13
  18. 216
  19. 6
  20. 23
  21. 25
  22. 3
  23. 12
  24. 125
  25. 9
  26. 9
  27. 14
  28. 8
  29. 216
  30. 9
  31. 216
  32. 8
  33. 64
  34. 512
  35. 27
  36. 2
  37. 8
  38. 729
  39. 3
  40. 9

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