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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 369 · 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) 276 (b) 216 (c) 232
  2. 2.Which of these is a perfect cube? (a) 1402 (b) 1553 (c) 1331
  3. 3.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.What is ∛27? =
  5. 5.Which of these is a perfect cube? (a) 1728 (b) 1926 (c) 1738
  6. 6.What is ∛9261? =
  7. 7.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  10. 10.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  11. 11.What is ∛4913? =
  12. 12.What is 12³? =
  13. 13.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is ∛216? =
  15. 15.What is ∛125? =
  16. 16.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  18. 18.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
  19. 19.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  23. 23.What is 6³? =
  24. 24.Which of these is a perfect cube? (a) 786 (b) 729 (c) 761
  25. 25.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.What is 3³? =
  28. 28.What is 14³? =
  29. 29.What is 9³? =
  30. 30.What is ∛8000? =
  31. 31.What is 10³? =
  32. 32.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛729? =
  34. 34.Which of these is a perfect cube? (a) 2744 (b) 2902 (c) 2820
  35. 35.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 156 (b) 181 (c) 125
  37. 37.Which of these is a perfect cube? (a) 465 (b) 343 (c) 403
  38. 38.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  40. 40.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?

Answer key

  1. 216
  2. 1331
  3. 125
  4. 3
  5. 1728
  6. 21
  7. 2
  8. 27
  9. 4
  10. 12
  11. 17
  12. 1728
  13. 64
  14. 6
  15. 5
  16. 20
  17. 3
  18. 25
  19. 27
  20. 8
  21. 5
  22. 9
  23. 216
  24. 729
  25. 14
  26. 10
  27. 27
  28. 2744
  29. 729
  30. 20
  31. 1000
  32. 5
  33. 9
  34. 2744
  35. 3
  36. 125
  37. 343
  38. 216
  39. 19
  40. 8

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