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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 959 · 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 ∛8000? =
  2. 2.What is 4³? =
  3. 3.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  4. 4.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  5. 5.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  6. 6.What is 10³? =
  7. 7.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  8. 8.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  9. 9.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  10. 10.What is 2³? =
  11. 11.What is ∛15625? =
  12. 12.What is 19³? =
  13. 13.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.What is ∛2744? =
  16. 16.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  17. 17.What is 20³? =
  18. 18.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  21. 21.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  22. 22.Which of these is a perfect cube? (a) 216 (b) 298 (c) 251
  23. 23.What is 11³? =
  24. 24.What is 3³? =
  25. 25.What is ∛9261? =
  26. 26.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 2386 (b) 2309 (c) 2197
  30. 30.Which of these is a perfect cube? (a) 106 (b) 64 (c) 69
  31. 31.Which of these is a perfect cube? (a) 621 (b) 512 (c) 680
  32. 32.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  34. 34.What is ∛4913? =
  35. 35.Which of these is a perfect cube? (a) 3209 (b) 2744 (c) 3178
  36. 36.What is ∛216? =
  37. 37.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is ∛1000? =
  39. 39.What is ∛512? =
  40. 40.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?

Answer key

  1. 20
  2. 64
  3. 9
  4. 7
  5. 16
  6. 1000
  7. 18
  8. 125
  9. 5
  10. 8
  11. 25
  12. 6859
  13. 216
  14. 125
  15. 14
  16. 14
  17. 8000
  18. 216
  19. 13
  20. 9
  21. 3
  22. 216
  23. 1331
  24. 27
  25. 21
  26. 125
  27. 8
  28. 3
  29. 2197
  30. 64
  31. 512
  32. 2
  33. 216
  34. 17
  35. 2744
  36. 6
  37. 8
  38. 10
  39. 8
  40. 3

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