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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 582 · 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) 2197 (b) 2435 (c) 2699
  2. 2.What is 5³? =
  3. 3.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  4. 4.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  5. 5.Which of these is a perfect cube? (a) 1189 (b) 1000 (c) 1106
  6. 6.What is 4³? =
  7. 7.What is 10³? =
  8. 8.What is ∛125? =
  9. 9.What is ∛27? =
  10. 10.What is ∛512? =
  11. 11.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 1568 (b) 1331 (c) 1375
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.Which of these is a perfect cube? (a) 218 (b) 240 (c) 216
  15. 15.A cube has a volume of 1000 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 1 cm. How many small cubes are there?
  17. 17.What is 20³? =
  18. 18.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  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.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is 3³? =
  22. 22.What is 15³? =
  23. 23.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  24. 24.What is ∛10648? =
  25. 25.Which of these is a perfect cube? (a) 125 (b) 196 (c) 169
  26. 26.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  27. 27.What is ∛2197? =
  28. 28.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
  31. 31.What is ∛8? =
  32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  33. 33.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  34. 34.What is ∛2744? =
  35. 35.What is 11³? =
  36. 36.Which of these is a perfect cube? (a) 343 (b) 478 (c) 350
  37. 37.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛3375? =
  40. 40.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?

Answer key

  1. 2197
  2. 125
  3. 49
  4. 14
  5. 1000
  6. 64
  7. 1000
  8. 5
  9. 3
  10. 8
  11. 7
  12. 1331
  13. 8
  14. 216
  15. 10
  16. 64
  17. 8000
  18. 25
  19. 216
  20. 6
  21. 27
  22. 3375
  23. 4
  24. 22
  25. 125
  26. 25
  27. 13
  28. 8
  29. 7
  30. 25
  31. 2
  32. 15
  33. 8
  34. 14
  35. 1331
  36. 343
  37. 8
  38. 11
  39. 15
  40. 2

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