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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 327 · 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 the smallest whole number by which 16 must be multiplied to get a perfect cube?
  2. 2.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛2197? =
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.What is ∛64? =
  7. 7.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  8. 8.Which of these is a perfect cube? (a) 216 (b) 262 (c) 239
  9. 9.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  10. 10.What is 12³? =
  11. 11.What is ∛3375? =
  12. 12.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  13. 13.What is ∛512? =
  14. 14.What is 8³? =
  15. 15.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is ∛343? =
  19. 19.What is 11³? =
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  21. 21.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is 16³? =
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 48 (b) 27 (c) 46
  25. 25.Which of these is a perfect cube? (a) 1469 (b) 1331 (c) 1442
  26. 26.What is 4³? =
  27. 27.What is 13³? =
  28. 28.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  29. 29.What is 10³? =
  30. 30.Which of these is a perfect cube? (a) 882 (b) 871 (c) 729
  31. 31.What is 19³? =
  32. 32.What is ∛1331? =
  33. 33.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  34. 34.Which of these is a perfect cube? (a) 2496 (b) 2197 (c) 2218
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is 18³? =
  37. 37.Which of these is a perfect cube? (a) 1000 (b) 1063 (c) 1243
  38. 38.What is ∛5832? =
  39. 39.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  40. 40.What is 15³? =

Answer key

  1. 4
  2. 11
  3. 13
  4. 216
  5. 8
  6. 4
  7. 5
  8. 216
  9. 16
  10. 1728
  11. 15
  12. 3
  13. 8
  14. 512
  15. 27
  16. 12
  17. 8
  18. 7
  19. 1331
  20. 64
  21. 64
  22. 4096
  23. 2
  24. 27
  25. 1331
  26. 64
  27. 2197
  28. 14
  29. 1000
  30. 729
  31. 6859
  32. 11
  33. 49
  34. 2197
  35. 8
  36. 5832
  37. 1000
  38. 18
  39. 25
  40. 3375

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