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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 252 · 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 14³? =
  2. 2.What is 17³? =
  3. 3.What is 20³? =
  4. 4.What is ∛13824? =
  5. 5.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  6. 6.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  7. 7.Which of these is a perfect cube? (a) 64 (b) 86 (c) 68
  8. 8.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  10. 10.What is 16³? =
  11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  13. 13.What is the smallest whole number by which 2 must be divided to get a perfect cube?
  14. 14.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  16. 16.What is ∛12167? =
  17. 17.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  18. 18.What is ∛10648? =
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 288 (b) 267 (c) 216
  21. 21.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  22. 22.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  23. 23.What is 2³? =
  24. 24.Which of these is a perfect cube? (a) 125 (b) 135 (c) 147
  25. 25.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  26. 26.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  27. 27.What is ∛64? =
  28. 28.What is 4³? =
  29. 29.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  30. 30.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  31. 31.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.What is 9³? =
  34. 34.Which of these is a perfect cube? (a) 1291 (b) 1000 (c) 1158
  35. 35.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  37. 37.What is ∛512? =
  38. 38.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  39. 39.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.What is 11³? =

Answer key

  1. 2744
  2. 4913
  3. 8000
  4. 24
  5. 6
  6. 20
  7. 64
  8. 18
  9. 64
  10. 4096
  11. 64
  12. 15
  13. 2
  14. 8
  15. 49
  16. 23
  17. 49
  18. 22
  19. 216
  20. 216
  21. 2
  22. 125
  23. 8
  24. 125
  25. 8
  26. 64
  27. 4
  28. 64
  29. 216
  30. 10
  31. 9
  32. 3
  33. 729
  34. 1000
  35. 49
  36. 4
  37. 8
  38. 17
  39. 125
  40. 1331

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