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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 618 · 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 343 cubic cm. How long is each edge (in cm)?
  2. 2.What is the smallest whole number by which 1125 must be multiplied to get a perfect cube?
  3. 3.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 2986 (b) 3071 (c) 2744
  5. 5.What is ∛13824? =
  6. 6.What is 2³? =
  7. 7.Which of these is a perfect cube? (a) 476 (b) 343 (c) 385
  8. 8.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  9. 9.Which of these is a perfect cube? (a) 125 (b) 165 (c) 139
  10. 10.What is ∛5832? =
  11. 11.Which of these is a perfect cube? (a) 216 (b) 305 (c) 223
  12. 12.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  13. 13.What is ∛216? =
  14. 14.What is ∛1331? =
  15. 15.What is 11³? =
  16. 16.What is ∛64? =
  17. 17.What is 12³? =
  18. 18.Which of these is a perfect cube? (a) 1403 (b) 1425 (c) 1331
  19. 19.What is ∛2744? =
  20. 20.What is 20³? =
  21. 21.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  22. 22.What is ∛4096? =
  23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.Which of these is a perfect cube? (a) 1043 (b) 1115 (c) 1000
  25. 25.What is 8³? =
  26. 26.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  27. 27.What is 5³? =
  28. 28.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  29. 29.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  30. 30.What is 4³? =
  31. 31.What is 14³? =
  32. 32.What is ∛10648? =
  33. 33.What is 15³? =
  34. 34.What is 19³? =
  35. 35.Which of these is a perfect cube? (a) 64 (b) 87 (c) 69
  36. 36.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 2115 (b) 2118 (c) 1728
  38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  39. 39.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  40. 40.What is the smallest whole number by which 7 must be divided to get a perfect cube?

Answer key

  1. 7
  2. 3
  3. 19
  4. 2744
  5. 24
  6. 8
  7. 343
  8. 216
  9. 125
  10. 18
  11. 216
  12. 5
  13. 6
  14. 11
  15. 1331
  16. 4
  17. 1728
  18. 1331
  19. 14
  20. 8000
  21. 13
  22. 16
  23. 8
  24. 1000
  25. 512
  26. 20
  27. 125
  28. 2
  29. 3
  30. 64
  31. 2744
  32. 22
  33. 3375
  34. 6859
  35. 64
  36. 2
  37. 1728
  38. 27
  39. 9
  40. 7

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