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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 536 · 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 ∛2744? =
  2. 2.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  3. 3.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  4. 4.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 13³? =
  6. 6.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  7. 7.What is 11³? =
  8. 8.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 130 (b) 125 (c) 133
  10. 10.Which of these is a perfect cube? (a) 1062 (b) 1093 (c) 1000
  11. 11.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  12. 12.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.What is 9³? =
  15. 15.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  16. 16.What is ∛125? =
  17. 17.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  18. 18.Which of these is a perfect cube? (a) 1331 (b) 1632 (c) 1573
  19. 19.What is ∛12167? =
  20. 20.What is ∛216? =
  21. 21.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  22. 22.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  23. 23.What is ∛27? =
  24. 24.What is ∛512? =
  25. 25.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.Which of these is a perfect cube? (a) 27 (b) 47 (c) 46
  27. 27.What is 18³? =
  28. 28.What is ∛15625? =
  29. 29.What is ∛8? =
  30. 30.Which of these is a perfect cube? (a) 3946 (b) 3484 (c) 3375
  31. 31.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛1331? =
  34. 34.What is 16³? =
  35. 35.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛5832? =
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  39. 39.Which of these is a perfect cube? (a) 2937 (b) 2852 (c) 2744
  40. 40.What is 8³? =

Answer key

  1. 14
  2. 10
  3. 64
  4. 8
  5. 2197
  6. 17
  7. 1331
  8. 5
  9. 125
  10. 1000
  11. 125
  12. 7
  13. 27
  14. 729
  15. 7
  16. 5
  17. 19
  18. 1331
  19. 23
  20. 6
  21. 9
  22. 7
  23. 3
  24. 8
  25. 125
  26. 27
  27. 5832
  28. 25
  29. 2
  30. 3375
  31. 2
  32. 16
  33. 11
  34. 4096
  35. 14
  36. 18
  37. 8
  38. 9
  39. 2744
  40. 512

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