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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 867 · 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.What is ∛4096? =
  2. 2.Which of these is a perfect cube? (a) 27 (b) 31 (c) 50
  3. 3.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  4. 4.What is 2³? =
  5. 5.What is 18³? =
  6. 6.What is 12³? =
  7. 7.Which of these is a perfect cube? (a) 3521 (b) 3375 (c) 3857
  8. 8.What is 20³? =
  9. 9.What is 16³? =
  10. 10.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 379 (b) 400 (c) 343
  13. 13.Which of these is a perfect cube? (a) 1584 (b) 1342 (c) 1331
  14. 14.Which of these is a perfect cube? (a) 512 (b) 571 (c) 652
  15. 15.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  16. 16.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  22. 22.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  23. 23.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  24. 24.What is ∛729? =
  25. 25.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  26. 26.What is 14³? =
  27. 27.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  28. 28.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  29. 29.What is 5³? =
  30. 30.Which of these is a perfect cube? (a) 111 (b) 98 (c) 64
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.What is ∛15625? =
  33. 33.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is ∛8000? =
  35. 35.What is the smallest whole number by which 108 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 1761 (b) 1896 (c) 1728
  37. 37.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
  38. 38.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 277 (b) 244 (c) 216

Answer key

  1. 16
  2. 27
  3. 5
  4. 8
  5. 5832
  6. 1728
  7. 3375
  8. 8000
  9. 4096
  10. 2
  11. 13
  12. 343
  13. 1331
  14. 512
  15. 3
  16. 9
  17. 4
  18. 14
  19. 125
  20. 5
  21. 9
  22. 19
  23. 9
  24. 9
  25. 49
  26. 2744
  27. 3
  28. 17
  29. 125
  30. 64
  31. 8
  32. 25
  33. 64
  34. 20
  35. 4
  36. 1728
  37. 5
  38. 125
  39. 125
  40. 216

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