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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 807 · 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 576 must be divided to get a perfect cube?
  2. 2.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  4. 4.What is 19³? =
  5. 5.What is ∛27? =
  6. 6.Which of these is a perfect cube? (a) 187 (b) 132 (c) 125
  7. 7.What is ∛64? =
  8. 8.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛1000? =
  11. 11.What is ∛2197? =
  12. 12.What is 12³? =
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is 4³? =
  15. 15.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  16. 16.What is 2³? =
  17. 17.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 3906 (b) 3375 (c) 3926
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.What is 13³? =
  21. 21.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  23. 23.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  24. 24.Which of these is a perfect cube? (a) 216 (b) 322 (c) 266
  25. 25.What is ∛343? =
  26. 26.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  27. 27.What is ∛4096? =
  28. 28.Which of these is a perfect cube? (a) 1344 (b) 1501 (c) 1331
  29. 29.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  30. 30.Which of these is a perfect cube? (a) 2217 (b) 2376 (c) 2197
  31. 31.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  32. 32.What is ∛4913? =
  33. 33.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is ∛8000? =
  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 the smallest whole number by which 32 must be divided to get a perfect cube?
  37. 37.What is 11³? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  40. 40.What is ∛216? =

Answer key

  1. 9
  2. 27
  3. 18
  4. 6859
  5. 3
  6. 125
  7. 4
  8. 7
  9. 17
  10. 10
  11. 13
  12. 1728
  13. 64
  14. 64
  15. 4
  16. 8
  17. 216
  18. 3375
  19. 13
  20. 2197
  21. 64
  22. 3
  23. 5
  24. 216
  25. 7
  26. 15
  27. 16
  28. 1331
  29. 2
  30. 2197
  31. 9
  32. 17
  33. 125
  34. 20
  35. 8
  36. 4
  37. 1331
  38. 8
  39. 4
  40. 6

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