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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 36 · 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 cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  3. 3.What is ∛10648? =
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 937 (b) 868 (c) 729
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.Which of these is a perfect cube? (a) 34 (b) 27 (c) 35
  8. 8.Which of these is a perfect cube? (a) 1728 (b) 1890 (c) 1799
  9. 9.What is ∛27? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is 16³? =
  12. 12.What is ∛343? =
  13. 13.What is 5³? =
  14. 14.What is 7³? =
  15. 15.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is 20³? =
  17. 17.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 301 (b) 216 (c) 309
  20. 20.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  21. 21.What is 8³? =
  22. 22.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛2197? =
  25. 25.Which of these is a perfect cube? (a) 1448 (b) 1331 (c) 1457
  26. 26.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  27. 27.What is 12³? =
  28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 343 (b) 472 (c) 359
  31. 31.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  37. 37.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  38. 38.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 3323 (b) 3268 (c) 2744
  40. 40.Which of these is a perfect cube? (a) 1284 (b) 1075 (c) 1000

Answer key

  1. 6
  2. 9
  3. 22
  4. 19
  5. 729
  6. 216
  7. 27
  8. 1728
  9. 3
  10. 216
  11. 4096
  12. 7
  13. 125
  14. 343
  15. 216
  16. 8000
  17. 3
  18. 12
  19. 216
  20. 3
  21. 512
  22. 4
  23. 2
  24. 13
  25. 1331
  26. 5
  27. 1728
  28. 27
  29. 20
  30. 343
  31. 17
  32. 64
  33. 3
  34. 5
  35. 27
  36. 7
  37. 7
  38. 5
  39. 2744
  40. 1000

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