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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 374 · 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 343 cubic cm. How long is each edge (in cm)?
  2. 2.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  3. 3.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  4. 4.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  5. 5.What is 20³? =
  6. 6.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  7. 7.What is 11³? =
  8. 8.What is 19³? =
  9. 9.Which of these is a perfect cube? (a) 410 (b) 430 (c) 343
  10. 10.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  11. 11.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  12. 12.Which of these is a perfect cube? (a) 557 (b) 547 (c) 512
  13. 13.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  14. 14.What is ∛8000? =
  15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  16. 16.What is 10³? =
  17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  19. 19.What is ∛5832? =
  20. 20.What is 12³? =
  21. 21.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  22. 22.What is 14³? =
  23. 23.What is ∛12167? =
  24. 24.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
  27. 27.Which of these is a perfect cube? (a) 1933 (b) 1897 (c) 1728
  28. 28.What is 18³? =
  29. 29.What is 7³? =
  30. 30.What is ∛343? =
  31. 31.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  32. 32.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  33. 33.What is 15³? =
  34. 34.What is 5³? =
  35. 35.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  36. 36.Which of these is a perfect cube? (a) 3480 (b) 3375 (c) 3993
  37. 37.What is ∛3375? =
  38. 38.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  39. 39.What is 8³? =
  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. 7
  2. 13
  3. 12
  4. 3
  5. 8000
  6. 8
  7. 1331
  8. 6859
  9. 343
  10. 18
  11. 8
  12. 512
  13. 8
  14. 20
  15. 2
  16. 1000
  17. 9
  18. 125
  19. 18
  20. 1728
  21. 9
  22. 2744
  23. 23
  24. 4
  25. 4
  26. 7
  27. 1728
  28. 5832
  29. 343
  30. 7
  31. 64
  32. 3
  33. 3375
  34. 125
  35. 7
  36. 3375
  37. 15
  38. 2
  39. 512
  40. 27

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