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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 161 · 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 1331 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.What is ∛5832? =
  4. 4.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛15625? =
  6. 6.What is 16³? =
  7. 7.What is 18³? =
  8. 8.What is the smallest whole number by which 25 must be multiplied to get a perfect cube?
  9. 9.What is 6³? =
  10. 10.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  11. 11.What is ∛1000? =
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  14. 14.What is ∛343? =
  15. 15.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  16. 16.What is 8³? =
  17. 17.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  19. 19.What is the smallest whole number by which 16 must be divided to get a perfect cube?
  20. 20.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  21. 21.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  23. 23.Which of these is a perfect cube? (a) 125 (b) 153 (c) 130
  24. 24.What is 12³? =
  25. 25.What is ∛64? =
  26. 26.Which of these is a perfect cube? (a) 67 (b) 69 (c) 64
  27. 27.What is 19³? =
  28. 28.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
  29. 29.What is ∛8000? =
  30. 30.What is ∛125? =
  31. 31.What is ∛216? =
  32. 32.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  33. 33.What is 5³? =
  34. 34.What is 9³? =
  35. 35.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  36. 36.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 1190 (b) 1000 (c) 1060
  38. 38.What is 4³? =
  39. 39.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  40. 40.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 11
  2. 13
  3. 18
  4. 15
  5. 25
  6. 4096
  7. 5832
  8. 5
  9. 216
  10. 9
  11. 10
  12. 27
  13. 7
  14. 7
  15. 19
  16. 512
  17. 8
  18. 3
  19. 2
  20. 27
  21. 216
  22. 5
  23. 125
  24. 1728
  25. 4
  26. 64
  27. 6859
  28. 2
  29. 20
  30. 5
  31. 6
  32. 49
  33. 125
  34. 729
  35. 17
  36. 6
  37. 1000
  38. 64
  39. 8
  40. 125

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