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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 666 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  4. 4.What is ∛4096? =
  5. 5.What is 7³? =
  6. 6.What is ∛4913? =
  7. 7.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.What is 20³? =
  9. 9.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  11. 11.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  12. 12.What is ∛125? =
  13. 13.Which of these is a perfect cube? (a) 222 (b) 293 (c) 216
  14. 14.What is 12³? =
  15. 15.What is 16³? =
  16. 16.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  18. 18.Which of these is a perfect cube? (a) 87 (b) 64 (c) 85
  19. 19.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  20. 20.What is 11³? =
  21. 21.What is 17³? =
  22. 22.What is 4³? =
  23. 23.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  27. 27.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  28. 28.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  30. 30.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  31. 31.Which of these is a perfect cube? (a) 2744 (b) 3096 (c) 2936
  32. 32.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.Which of these is a perfect cube? (a) 169 (b) 151 (c) 125
  35. 35.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  36. 36.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is ∛2744? =
  38. 38.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  39. 39.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?

Answer key

  1. 18
  2. 8
  3. 14
  4. 16
  5. 343
  6. 17
  7. 216
  8. 8000
  9. 27
  10. 3
  11. 12
  12. 5
  13. 216
  14. 1728
  15. 4096
  16. 9
  17. 64
  18. 64
  19. 2
  20. 1331
  21. 4913
  22. 64
  23. 11
  24. 27
  25. 49
  26. 3
  27. 17
  28. 6
  29. 49
  30. 7
  31. 2744
  32. 7
  33. 8
  34. 125
  35. 4
  36. 8
  37. 14
  38. 7
  39. 5
  40. 10

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