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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 653 · 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.Which of these is a perfect cube? (a) 27 (b) 40 (c) 31
  2. 2.Which of these is a perfect cube? (a) 1331 (b) 1646 (c) 1392
  3. 3.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  4. 4.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is 17³? =
  6. 6.What is 5³? =
  7. 7.What is 4³? =
  8. 8.Which of these is a perfect cube? (a) 732 (b) 729 (c) 796
  9. 9.What is 10³? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 343 (b) 399 (c) 473
  13. 13.What is 9³? =
  14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  18. 18.What is 7³? =
  19. 19.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 2213 (b) 2197 (c) 2355
  21. 21.Which of these is a perfect cube? (a) 82 (b) 90 (c) 64
  22. 22.Which of these is a perfect cube? (a) 216 (b) 226 (c) 286
  23. 23.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 500 must be divided to get a perfect cube?
  25. 25.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  26. 26.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  28. 28.What is ∛8000? =
  29. 29.What is 20³? =
  30. 30.Which of these is a perfect cube? (a) 1000 (b) 1116 (c) 1117
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is ∛1728? =
  33. 33.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  34. 34.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is ∛2197? =
  38. 38.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  39. 39.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  40. 40.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 27
  2. 1331
  3. 27
  4. 27
  5. 4913
  6. 125
  7. 64
  8. 729
  9. 1000
  10. 8
  11. 11
  12. 343
  13. 729
  14. 27
  15. 4
  16. 2
  17. 3
  18. 343
  19. 3
  20. 2197
  21. 64
  22. 216
  23. 2
  24. 4
  25. 20
  26. 7
  27. 9
  28. 20
  29. 8000
  30. 1000
  31. 8
  32. 12
  33. 3
  34. 125
  35. 4
  36. 216
  37. 13
  38. 15
  39. 9
  40. 64

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