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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 994 · 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 64 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 82 (b) 64 (c) 107
  5. 5.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is 2³? =
  7. 7.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is ∛216? =
  12. 12.Which of these is a perfect cube? (a) 45 (b) 54 (c) 27
  13. 13.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  14. 14.What is 19³? =
  15. 15.What is ∛2197? =
  16. 16.What is ∛729? =
  17. 17.What is 14³? =
  18. 18.What is ∛125? =
  19. 19.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  20. 20.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  21. 21.What is 17³? =
  22. 22.Which of these is a perfect cube? (a) 170 (b) 197 (c) 125
  23. 23.What is 8³? =
  24. 24.What is ∛27? =
  25. 25.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  26. 26.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 2751 (b) 2744 (c) 2876
  28. 28.What is 6³? =
  29. 29.Which of these is a perfect cube? (a) 216 (b) 282 (c) 294
  30. 30.Which of these is a perfect cube? (a) 548 (b) 512 (c) 620
  31. 31.What is 18³? =
  32. 32.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  34. 34.What is 9³? =
  35. 35.What is 15³? =
  36. 36.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 1656 (b) 1358 (c) 1331
  38. 38.What is 3³? =
  39. 39.What is 10³? =
  40. 40.What is 7³? =

Answer key

  1. 4
  2. 125
  3. 12
  4. 64
  5. 125
  6. 8
  7. 216
  8. 7
  9. 6
  10. 64
  11. 6
  12. 27
  13. 10
  14. 6859
  15. 13
  16. 9
  17. 2744
  18. 5
  19. 2
  20. 7
  21. 4913
  22. 125
  23. 512
  24. 3
  25. 3
  26. 16
  27. 2744
  28. 216
  29. 216
  30. 512
  31. 5832
  32. 3
  33. 64
  34. 729
  35. 3375
  36. 64
  37. 1331
  38. 27
  39. 1000
  40. 343

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