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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 929 · 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 9³? =
  2. 2.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.Which of these is a perfect cube? (a) 1286 (b) 1000 (c) 1184
  4. 4.What is the smallest whole number by which 135 must be multiplied to get a perfect cube?
  5. 5.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  6. 6.Which of these is a perfect cube? (a) 161 (b) 177 (c) 125
  7. 7.What is ∛1728? =
  8. 8.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is 16³? =
  12. 12.What is 19³? =
  13. 13.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  15. 15.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  16. 16.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is ∛15625? =
  18. 18.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  19. 19.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  20. 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  21. 21.What is 17³? =
  22. 22.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  23. 23.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛27? =
  25. 25.What is ∛125? =
  26. 26.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  27. 27.What is 15³? =
  28. 28.What is ∛6859? =
  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.What is 2³? =
  31. 31.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛4096? =
  33. 33.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  34. 34.What is ∛8000? =
  35. 35.What is ∛5832? =
  36. 36.What is 20³? =
  37. 37.Which of these is a perfect cube? (a) 660 (b) 580 (c) 512
  38. 38.What is ∛4913? =
  39. 39.Which of these is a perfect cube? (a) 1608 (b) 1346 (c) 1331
  40. 40.What is 4³? =

Answer key

  1. 729
  2. 125
  3. 1000
  4. 25
  5. 18
  6. 125
  7. 12
  8. 20
  9. 2
  10. 216
  11. 4096
  12. 6859
  13. 16
  14. 13
  15. 15
  16. 8
  17. 25
  18. 64
  19. 4
  20. 10
  21. 4913
  22. 64
  23. 6
  24. 3
  25. 5
  26. 4
  27. 3375
  28. 19
  29. 125
  30. 8
  31. 216
  32. 16
  33. 49
  34. 20
  35. 18
  36. 8000
  37. 512
  38. 17
  39. 1331
  40. 64

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