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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 257 · 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 2³? =
  2. 2.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  4. 4.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  5. 5.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  7. 7.What is ∛216? =
  8. 8.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  9. 9.What is 16³? =
  10. 10.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  12. 12.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛1331? =
  14. 14.What is ∛12167? =
  15. 15.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 2959 (b) 2744 (c) 3228
  17. 17.Which of these is a perfect cube? (a) 176 (b) 182 (c) 125
  18. 18.What is ∛9261? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 3375 (b) 3538 (c) 3606
  21. 21.What is ∛8000? =
  22. 22.What is ∛4096? =
  23. 23.What is the smallest whole number by which 1944 must be divided to get a perfect cube?
  24. 24.What is ∛6859? =
  25. 25.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  26. 26.What is ∛2744? =
  27. 27.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  29. 29.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  32. 32.What is ∛1728? =
  33. 33.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  34. 34.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  35. 35.What is 4³? =
  36. 36.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  37. 37.What is 5³? =
  38. 38.What is 12³? =
  39. 39.Which of these is a perfect cube? (a) 1233 (b) 1000 (c) 1207
  40. 40.What is 18³? =

Answer key

  1. 8
  2. 27
  3. 4
  4. 19
  5. 64
  6. 64
  7. 6
  8. 7
  9. 4096
  10. 10
  11. 49
  12. 13
  13. 11
  14. 23
  15. 7
  16. 2744
  17. 125
  18. 21
  19. 27
  20. 3375
  21. 20
  22. 16
  23. 9
  24. 19
  25. 11
  26. 14
  27. 64
  28. 9
  29. 125
  30. 17
  31. 9
  32. 12
  33. 4
  34. 2
  35. 64
  36. 5
  37. 125
  38. 1728
  39. 1000
  40. 5832

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