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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 163 · 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 216 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  3. 3.What is 16³? =
  4. 4.What is 13³? =
  5. 5.What is ∛512? =
  6. 6.What is ∛216? =
  7. 7.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
  9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  10. 10.Which of these is a perfect cube? (a) 2744 (b) 3088 (c) 2947
  11. 11.What is 2³? =
  12. 12.Which of these is a perfect cube? (a) 125 (b) 183 (c) 164
  13. 13.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛27? =
  17. 17.What is ∛125? =
  18. 18.What is 10³? =
  19. 19.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  20. 20.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  21. 21.What is ∛729? =
  22. 22.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  23. 23.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 1219 (b) 1196 (c) 1000
  26. 26.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 72 (b) 66 (c) 64
  29. 29.Which of these is a perfect cube? (a) 27 (b) 42 (c) 28
  30. 30.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  31. 31.What is ∛13824? =
  32. 32.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  33. 33.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 320 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 343 (b) 408 (c) 406
  37. 37.Which of these is a perfect cube? (a) 1376 (b) 1331 (c) 1574
  38. 38.What is the smallest whole number by which 40 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  40. 40.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?

Answer key

  1. 6
  2. 12
  3. 4096
  4. 2197
  5. 8
  6. 6
  7. 27
  8. 25
  9. 4
  10. 2744
  11. 8
  12. 125
  13. 9
  14. 125
  15. 3
  16. 3
  17. 5
  18. 1000
  19. 9
  20. 4
  21. 9
  22. 4
  23. 8
  24. 64
  25. 1000
  26. 20
  27. 25
  28. 64
  29. 27
  30. 2
  31. 24
  32. 8
  33. 3
  34. 5
  35. 2
  36. 343
  37. 1331
  38. 5
  39. 25
  40. 5

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