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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 153 · 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 512 cubic cm. How long is each edge (in cm)?
  2. 2.What is 9³? =
  3. 3.What is 8³? =
  4. 4.What is the smallest whole number by which 49 must be divided to get a perfect cube?
  5. 5.What is the smallest whole number by which 10584 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  8. 8.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  9. 9.Which of these is a perfect cube? (a) 101 (b) 64 (c) 112
  10. 10.Which of these is a perfect cube? (a) 1728 (b) 1825 (c) 1893
  11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 626 (b) 512 (c) 536
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 3375 (b) 3563 (c) 3982
  16. 16.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  17. 17.What is 19³? =
  18. 18.What is ∛729? =
  19. 19.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛10648? =
  22. 22.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 281 (b) 216 (c) 323
  25. 25.What is 10³? =
  26. 26.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  27. 27.What is 17³? =
  28. 28.Which of these is a perfect cube? (a) 164 (b) 142 (c) 125
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  32. 32.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  33. 33.Which of these is a perfect cube? (a) 1356 (b) 1515 (c) 1331
  34. 34.What is 20³? =
  35. 35.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  36. 36.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  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 cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?

Answer key

  1. 8
  2. 729
  3. 512
  4. 49
  5. 7
  6. 12
  7. 3
  8. 18
  9. 64
  10. 1728
  11. 64
  12. 512
  13. 20
  14. 25
  15. 3375
  16. 27
  17. 6859
  18. 9
  19. 14
  20. 15
  21. 22
  22. 5
  23. 216
  24. 216
  25. 1000
  26. 4
  27. 4913
  28. 125
  29. 8
  30. 27
  31. 9
  32. 25
  33. 1331
  34. 8000
  35. 27
  36. 8
  37. 8
  38. 7
  39. 64
  40. 4

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