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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 594 · 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 1000 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  3. 3.What is 20³? =
  4. 4.What is ∛1000? =
  5. 5.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  6. 6.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  7. 7.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  8. 8.What is ∛3375? =
  9. 9.Which of these is a perfect cube? (a) 2513 (b) 2653 (c) 2197
  10. 10.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  11. 11.What is 7³? =
  12. 12.What is ∛8000? =
  13. 13.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  14. 14.What is 18³? =
  15. 15.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  16. 16.What is 12³? =
  17. 17.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 627 (b) 512 (c) 676
  19. 19.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 1484 (b) 1669 (c) 1331
  21. 21.What is ∛12167? =
  22. 22.What is ∛15625? =
  23. 23.What is ∛13824? =
  24. 24.What is 15³? =
  25. 25.What is 8³? =
  26. 26.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  27. 27.What is ∛8? =
  28. 28.What is ∛216? =
  29. 29.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  30. 30.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  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.Which of these is a perfect cube? (a) 3505 (b) 3375 (c) 4025
  33. 33.What is 4³? =
  34. 34.What is ∛2744? =
  35. 35.What is the smallest whole number by which 1600 must be divided to get a perfect cube?
  36. 36.What is 16³? =
  37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛343? =
  39. 39.What is ∛512? =
  40. 40.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

Answer key

  1. 10
  2. 7
  3. 8000
  4. 10
  5. 13
  6. 9
  7. 9
  8. 15
  9. 2197
  10. 15
  11. 343
  12. 20
  13. 125
  14. 5832
  15. 17
  16. 1728
  17. 49
  18. 512
  19. 4
  20. 1331
  21. 23
  22. 25
  23. 24
  24. 3375
  25. 512
  26. 64
  27. 2
  28. 6
  29. 64
  30. 4
  31. 8
  32. 3375
  33. 64
  34. 14
  35. 25
  36. 4096
  37. 19
  38. 7
  39. 8
  40. 27

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