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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 514 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛15625? =
  3. 3.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  4. 4.Which of these is a perfect cube? (a) 343 (b) 383 (c) 485
  5. 5.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  6. 6.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  8. 8.What is 10³? =
  9. 9.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  10. 10.Which of these is a perfect cube? (a) 512 (b) 629 (c) 694
  11. 11.What is 9³? =
  12. 12.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  14. 14.What is ∛1728? =
  15. 15.What is 11³? =
  16. 16.What is 20³? =
  17. 17.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 3578 (b) 3790 (c) 3375
  20. 20.What is ∛9261? =
  21. 21.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  23. 23.What is ∛27? =
  24. 24.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  25. 25.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  26. 26.What is ∛216? =
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  29. 29.What is 19³? =
  30. 30.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 216 (b) 258 (c) 235
  32. 32.What is 16³? =
  33. 33.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is ∛125? =
  35. 35.Which of these is a perfect cube? (a) 802 (b) 732 (c) 729
  36. 36.Which of these is a perfect cube? (a) 1088 (b) 1000 (c) 1140
  37. 37.What is 12³? =
  38. 38.What is 7³? =
  39. 39.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 110 (b) 76 (c) 64

Answer key

  1. 11
  2. 25
  3. 27
  4. 343
  5. 216
  6. 27
  7. 14
  8. 1000
  9. 25
  10. 512
  11. 729
  12. 8
  13. 2
  14. 12
  15. 1331
  16. 8000
  17. 5
  18. 125
  19. 3375
  20. 21
  21. 8
  22. 25
  23. 3
  24. 6
  25. 9
  26. 6
  27. 64
  28. 4
  29. 6859
  30. 49
  31. 216
  32. 4096
  33. 216
  34. 5
  35. 729
  36. 1000
  37. 1728
  38. 343
  39. 125
  40. 64

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