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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 616 · 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 729 cubic cm. How long is each edge (in cm)?
  2. 2.What is 6³? =
  3. 3.What is 19³? =
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 2314 (b) 2197 (c) 2687
  8. 8.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛512? =
  11. 11.What is 10³? =
  12. 12.What is 17³? =
  13. 13.What is 2³? =
  14. 14.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  15. 15.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  16. 16.What is ∛12167? =
  17. 17.Which of these is a perfect cube? (a) 1575 (b) 1586 (c) 1331
  18. 18.What is ∛4096? =
  19. 19.What is 4³? =
  20. 20.What is 7³? =
  21. 21.What is 5³? =
  22. 22.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  23. 23.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 125 (b) 162 (c) 174
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 67 (b) 109 (c) 64
  28. 28.What is 15³? =
  29. 29.What is ∛3375? =
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  33. 33.What is 11³? =
  34. 34.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  35. 35.What is 20³? =
  36. 36.What is ∛343? =
  37. 37.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  38. 38.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 48 (b) 37 (c) 27
  40. 40.Which of these is a perfect cube? (a) 343 (b) 481 (c) 488

Answer key

  1. 9
  2. 216
  3. 6859
  4. 27
  5. 9
  6. 3
  7. 2197
  8. 5
  9. 18
  10. 8
  11. 1000
  12. 4913
  13. 8
  14. 7
  15. 64
  16. 23
  17. 1331
  18. 16
  19. 64
  20. 343
  21. 125
  22. 9
  23. 64
  24. 125
  25. 27
  26. 14
  27. 64
  28. 3375
  29. 15
  30. 7
  31. 216
  32. 49
  33. 1331
  34. 4
  35. 8000
  36. 7
  37. 6
  38. 20
  39. 27
  40. 343

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