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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 176 · 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 1728 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 448 must be multiplied to get a perfect cube?
  3. 3.What is 8³? =
  4. 4.What is ∛4913? =
  5. 5.What is ∛10648? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.What is 17³? =
  8. 8.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  9. 9.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  10. 10.What is 9³? =
  11. 11.What is 3³? =
  12. 12.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  13. 13.What is 11³? =
  14. 14.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  15. 15.What is 14³? =
  16. 16.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  17. 17.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  18. 18.What is 16³? =
  19. 19.What is ∛12167? =
  20. 20.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  21. 21.What is 13³? =
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  26. 26.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.What is 18³? =
  28. 28.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  29. 29.Which of these is a perfect cube? (a) 216 (b) 273 (c) 223
  30. 30.Which of these is a perfect cube? (a) 189 (b) 125 (c) 200
  31. 31.Which of these is a perfect cube? (a) 2744 (b) 2804 (c) 3015
  32. 32.What is 10³? =
  33. 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
  35. 35.Which of these is a perfect cube? (a) 738 (b) 891 (c) 729
  36. 36.Which of these is a perfect cube? (a) 626 (b) 512 (c) 603
  37. 37.Which of these is a perfect cube? (a) 2514 (b) 2197 (c) 2566
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 12
  2. 49
  3. 512
  4. 17
  5. 22
  6. 64
  7. 4913
  8. 5
  9. 9
  10. 729
  11. 27
  12. 5
  13. 1331
  14. 8
  15. 2744
  16. 125
  17. 4
  18. 4096
  19. 23
  20. 17
  21. 2197
  22. 15
  23. 25
  24. 25
  25. 5
  26. 8
  27. 5832
  28. 19
  29. 216
  30. 125
  31. 2744
  32. 1000
  33. 10
  34. 49
  35. 729
  36. 512
  37. 2197
  38. 27
  39. 5
  40. 27

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