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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 606 · 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 ∛216? =
  2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 2365 (b) 2197 (c) 2353
  4. 4.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  5. 5.Which of these is a perfect cube? (a) 462 (b) 347 (c) 343
  6. 6.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  7. 7.What is ∛8000? =
  8. 8.What is 3³? =
  9. 9.What is 11³? =
  10. 10.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛6859? =
  12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  13. 13.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛343? =
  16. 16.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is ∛8? =
  20. 20.What is 6³? =
  21. 21.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  23. 23.What is 7³? =
  24. 24.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  26. 26.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is 15³? =
  28. 28.What is ∛2744? =
  29. 29.Which of these is a perfect cube? (a) 226 (b) 285 (c) 216
  30. 30.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  32. 32.Which of these is a perfect cube? (a) 2959 (b) 2744 (c) 2983
  33. 33.What is 19³? =
  34. 34.What is ∛729? =
  35. 35.What is ∛12167? =
  36. 36.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 134 (b) 170 (c) 125
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  39. 39.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  40. 40.What is 16³? =

Answer key

  1. 6
  2. 125
  3. 2197
  4. 3
  5. 343
  6. 5
  7. 20
  8. 27
  9. 1331
  10. 7
  11. 19
  12. 64
  13. 19
  14. 13
  15. 7
  16. 64
  17. 4
  18. 27
  19. 2
  20. 216
  21. 125
  22. 12
  23. 343
  24. 3
  25. 8
  26. 8
  27. 3375
  28. 14
  29. 216
  30. 216
  31. 25
  32. 2744
  33. 6859
  34. 9
  35. 23
  36. 8
  37. 125
  38. 64
  39. 20
  40. 4096

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