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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 757 · 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 1000 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛4913? =
  3. 3.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  4. 4.What is 14³? =
  5. 5.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 408 (b) 343 (c) 470
  9. 9.What is 9³? =
  10. 10.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  11. 11.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  12. 12.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  14. 14.What is ∛512? =
  15. 15.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛6859? =
  17. 17.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.What is ∛5832? =
  19. 19.What is 8³? =
  20. 20.What is 19³? =
  21. 21.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  23. 23.What is 3³? =
  24. 24.What is ∛8? =
  25. 25.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  27. 27.What is 6³? =
  28. 28.Which of these is a perfect cube? (a) 1728 (b) 2120 (c) 1736
  29. 29.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.Which of these is a perfect cube? (a) 164 (b) 125 (c) 132
  32. 32.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  33. 33.What is 5³? =
  34. 34.What is ∛8000? =
  35. 35.Which of these is a perfect cube? (a) 3375 (b) 4037 (c) 3380
  36. 36.What is 11³? =
  37. 37.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  38. 38.What is ∛13824? =
  39. 39.What is ∛1331? =
  40. 40.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?

Answer key

  1. 10
  2. 17
  3. 2
  4. 2744
  5. 9
  6. 216
  7. 8
  8. 343
  9. 729
  10. 7
  11. 64
  12. 17
  13. 49
  14. 8
  15. 9
  16. 19
  17. 27
  18. 18
  19. 512
  20. 6859
  21. 20
  22. 4
  23. 27
  24. 2
  25. 49
  26. 5
  27. 216
  28. 1728
  29. 49
  30. 27
  31. 125
  32. 49
  33. 125
  34. 20
  35. 3375
  36. 1331
  37. 5
  38. 24
  39. 11
  40. 19

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