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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 203 · 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 ∛343? =
  2. 2.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛3375? =
  5. 5.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is 12³? =
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  9. 9.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 927 (b) 729 (c) 963
  11. 11.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  13. 13.What is 20³? =
  14. 14.What is ∛15625? =
  15. 15.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.What is 19³? =
  18. 18.What is 4³? =
  19. 19.Which of these is a perfect cube? (a) 512 (b) 533 (c) 563
  20. 20.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is ∛125? =
  23. 23.What is 16³? =
  24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  26. 26.What is 2³? =
  27. 27.Which of these is a perfect cube? (a) 2197 (b) 2234 (c) 2662
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.What is 3³? =
  30. 30.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  31. 31.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 1512 must be divided to get a perfect cube?
  35. 35.What is ∛4913? =
  36. 36.What is 9³? =
  37. 37.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.What is 11³? =
  40. 40.What is ∛27? =

Answer key

  1. 7
  2. 25
  3. 6
  4. 15
  5. 125
  6. 1728
  7. 216
  8. 3
  9. 7
  10. 729
  11. 5
  12. 5
  13. 8000
  14. 25
  15. 8
  16. 20
  17. 6859
  18. 64
  19. 512
  20. 19
  21. 8
  22. 5
  23. 4096
  24. 12
  25. 9
  26. 8
  27. 2197
  28. 16
  29. 27
  30. 5
  31. 4
  32. 125
  33. 27
  34. 7
  35. 17
  36. 729
  37. 125
  38. 27
  39. 1331
  40. 3

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