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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 944 · 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 16³? =
  2. 2.What is 11³? =
  3. 3.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is 8³? =
  6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  8. 8.What is ∛8000? =
  9. 9.What is ∛125? =
  10. 10.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  11. 11.What is ∛1728? =
  12. 12.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  13. 13.What is 10³? =
  14. 14.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  15. 15.Which of these is a perfect cube? (a) 2744 (b) 3157 (c) 3308
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  18. 18.What is 3³? =
  19. 19.What is ∛10648? =
  20. 20.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  21. 21.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  22. 22.What is 13³? =
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  25. 25.What is 7³? =
  26. 26.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  27. 27.What is 17³? =
  28. 28.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  29. 29.What is ∛6859? =
  30. 30.What is 4³? =
  31. 31.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.Which of these is a perfect cube? (a) 30 (b) 35 (c) 27
  34. 34.Which of these is a perfect cube? (a) 512 (b) 588 (c) 609
  35. 35.Which of these is a perfect cube? (a) 238 (b) 253 (c) 216
  36. 36.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is ∛1000? =
  40. 40.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 4096
  2. 1331
  3. 15
  4. 8
  5. 512
  6. 7
  7. 27
  8. 20
  9. 5
  10. 2
  11. 12
  12. 12
  13. 1000
  14. 20
  15. 2744
  16. 9
  17. 3
  18. 27
  19. 22
  20. 49
  21. 7
  22. 2197
  23. 6
  24. 4
  25. 343
  26. 19
  27. 4913
  28. 16
  29. 19
  30. 64
  31. 3
  32. 125
  33. 27
  34. 512
  35. 216
  36. 4
  37. 8
  38. 216
  39. 10
  40. 125

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