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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 996 · 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 5832 cubic cm. How long is each edge (in cm)?
  2. 2.What is 10³? =
  3. 3.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  4. 4.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  6. 6.Which of these is a perfect cube? (a) 88 (b) 64 (c) 90
  7. 7.Which of these is a perfect cube? (a) 31 (b) 30 (c) 27
  8. 8.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  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 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  12. 12.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  13. 13.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is 2³? =
  15. 15.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  16. 16.What is ∛125? =
  17. 17.What is 3³? =
  18. 18.Which of these is a perfect cube? (a) 289 (b) 280 (c) 216
  19. 19.What is 18³? =
  20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  22. 22.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  23. 23.What is ∛1728? =
  24. 24.Which of these is a perfect cube? (a) 1629 (b) 1331 (c) 1460
  25. 25.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is ∛216? =
  27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  28. 28.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  29. 29.What is ∛13824? =
  30. 30.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 392 must be multiplied to get a perfect cube?
  33. 33.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  34. 34.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  35. 35.What is ∛4096? =
  36. 36.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is 7³? =
  40. 40.Which of these is a perfect cube? (a) 3324 (b) 2744 (c) 2863

Answer key

  1. 18
  2. 1000
  3. 7
  4. 125
  5. 8
  6. 64
  7. 27
  8. 216
  9. 12
  10. 27
  11. 4
  12. 5
  13. 64
  14. 8
  15. 9
  16. 5
  17. 27
  18. 216
  19. 5832
  20. 13
  21. 64
  22. 3
  23. 12
  24. 1331
  25. 125
  26. 6
  27. 6
  28. 27
  29. 24
  30. 27
  31. 64
  32. 7
  33. 49
  34. 4
  35. 16
  36. 2
  37. 216
  38. 8
  39. 343
  40. 2744

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