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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 271 · 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 big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.What is ∛4096? =
  4. 4.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  5. 5.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.What is 18³? =
  9. 9.What is ∛15625? =
  10. 10.What is 19³? =
  11. 11.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  13. 13.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  17. 17.What is 2³? =
  18. 18.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 518 (b) 512 (c) 671
  20. 20.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 1080 (b) 1000 (c) 1206
  23. 23.What is 7³? =
  24. 24.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  25. 25.What is 16³? =
  26. 26.What is ∛1331? =
  27. 27.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  28. 28.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  30. 30.What is 4³? =
  31. 31.Which of these is a perfect cube? (a) 311 (b) 273 (c) 216
  32. 32.Which of these is a perfect cube? (a) 2197 (b) 2406 (c) 2273
  33. 33.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛1728? =
  36. 36.What is ∛9261? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛1000? =
  40. 40.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 27
  2. 8
  3. 16
  4. 8
  5. 20
  6. 5
  7. 27
  8. 5832
  9. 25
  10. 6859
  11. 3
  12. 4
  13. 17
  14. 27
  15. 15
  16. 7
  17. 8
  18. 18
  19. 512
  20. 125
  21. 27
  22. 1000
  23. 343
  24. 25
  25. 4096
  26. 11
  27. 125
  28. 19
  29. 9
  30. 64
  31. 216
  32. 2197
  33. 7
  34. 10
  35. 12
  36. 21
  37. 216
  38. 2
  39. 10
  40. 8

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