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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 448 · 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 ∛343? =
  2. 2.What is ∛2197? =
  3. 3.What is 14³? =
  4. 4.What is ∛4096? =
  5. 5.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  6. 6.What is 15³? =
  7. 7.Which of these is a perfect cube? (a) 608 (b) 512 (c) 562
  8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.What is ∛512? =
  13. 13.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  15. 15.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  16. 16.What is 4³? =
  17. 17.What is ∛64? =
  18. 18.Which of these is a perfect cube? (a) 137 (b) 141 (c) 125
  19. 19.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 1944 must be multiplied to get a perfect cube?
  21. 21.What is 6³? =
  22. 22.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.What is ∛2744? =
  24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  26. 26.What is 13³? =
  27. 27.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  28. 28.What is 12³? =
  29. 29.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  32. 32.What is ∛6859? =
  33. 33.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛8? =
  36. 36.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  37. 37.Which of these is a perfect cube? (a) 3379 (b) 3375 (c) 3745
  38. 38.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 1621 (b) 1331 (c) 1494

Answer key

  1. 7
  2. 13
  3. 2744
  4. 16
  5. 14
  6. 3375
  7. 512
  8. 2
  9. 12
  10. 125
  11. 125
  12. 8
  13. 64
  14. 3
  15. 8
  16. 64
  17. 4
  18. 125
  19. 11
  20. 3
  21. 216
  22. 8
  23. 14
  24. 8
  25. 4
  26. 2197
  27. 4
  28. 1728
  29. 5
  30. 25
  31. 4
  32. 19
  33. 10
  34. 13
  35. 2
  36. 7
  37. 3375
  38. 16
  39. 27
  40. 1331

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