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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 46 · 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.Which of these is a perfect cube? (a) 283 (b) 216 (c) 320
  2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is ∛4913? =
  4. 4.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.Which of these is a perfect cube? (a) 1284 (b) 1013 (c) 1000
  6. 6.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 64 (b) 75 (c) 107
  8. 8.What is ∛4096? =
  9. 9.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  10. 10.What is 3³? =
  11. 11.What is ∛8000? =
  12. 12.What is ∛64? =
  13. 13.What is 11³? =
  14. 14.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 343 (b) 472 (c) 360
  17. 17.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  19. 19.Which of these is a perfect cube? (a) 2862 (b) 2744 (c) 2753
  20. 20.Which of these is a perfect cube? (a) 195 (b) 192 (c) 125
  21. 21.What is the smallest whole number by which 1323 must be divided to get a perfect cube?
  22. 22.What is ∛2197? =
  23. 23.What is 9³? =
  24. 24.Which of these is a perfect cube? (a) 2358 (b) 2289 (c) 2197
  25. 25.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  27. 27.What is 20³? =
  28. 28.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.What is ∛125? =
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is 8³? =
  34. 34.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  35. 35.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 512 (b) 603 (c) 576
  37. 37.Which of these is a perfect cube? (a) 41 (b) 44 (c) 27
  38. 38.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  40. 40.What is ∛1331? =

Answer key

  1. 216
  2. 8
  3. 17
  4. 27
  5. 1000
  6. 4
  7. 64
  8. 16
  9. 13
  10. 27
  11. 20
  12. 4
  13. 1331
  14. 9
  15. 2
  16. 343
  17. 27
  18. 16
  19. 2744
  20. 125
  21. 49
  22. 13
  23. 729
  24. 2197
  25. 4
  26. 25
  27. 8000
  28. 8
  29. 3
  30. 125
  31. 5
  32. 216
  33. 512
  34. 4
  35. 8
  36. 512
  37. 27
  38. 12
  39. 3
  40. 11

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