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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 433 · 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 ∛216? =
  2. 2.What is ∛1000? =
  3. 3.Which of these is a perfect cube? (a) 729 (b) 801 (c) 840
  4. 4.What is 5³? =
  5. 5.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  6. 6.What is 17³? =
  7. 7.What is ∛2744? =
  8. 8.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.Which of these is a perfect cube? (a) 1400 (b) 1613 (c) 1331
  11. 11.Which of these is a perfect cube? (a) 1055 (b) 1067 (c) 1000
  12. 12.What is 6³? =
  13. 13.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  14. 14.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  15. 15.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 160 (b) 136 (c) 125
  17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.What is 13³? =
  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.Which of these is a perfect cube? (a) 27 (b) 39 (c) 45
  22. 22.What is 7³? =
  23. 23.What is 18³? =
  24. 24.Which of these is a perfect cube? (a) 582 (b) 512 (c) 542
  25. 25.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛4913? =
  27. 27.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is ∛5832? =
  31. 31.What is ∛6859? =
  32. 32.What is 11³? =
  33. 33.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  34. 34.What is ∛1331? =
  35. 35.What is ∛729? =
  36. 36.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  38. 38.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  40. 40.What is ∛512? =

Answer key

  1. 6
  2. 10
  3. 729
  4. 125
  5. 5
  6. 4913
  7. 14
  8. 18
  9. 216
  10. 1331
  11. 1000
  12. 216
  13. 2
  14. 3
  15. 3
  16. 125
  17. 9
  18. 8
  19. 2197
  20. 8
  21. 27
  22. 343
  23. 5832
  24. 512
  25. 216
  26. 17
  27. 49
  28. 216
  29. 64
  30. 18
  31. 19
  32. 1331
  33. 20
  34. 11
  35. 9
  36. 125
  37. 7
  38. 3
  39. 27
  40. 8

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