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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 59 · 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 3375 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  3. 3.What is ∛4096? =
  4. 4.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  7. 7.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  9. 9.What is the smallest whole number by which 250 must be divided to get a perfect cube?
  10. 10.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 1728 (b) 1736 (c) 1801
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 192 must be multiplied to get a perfect cube?
  14. 14.What is 7³? =
  15. 15.Which of these is a perfect cube? (a) 702 (b) 605 (c) 512
  16. 16.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  17. 17.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  18. 18.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  19. 19.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  21. 21.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  22. 22.What is the smallest whole number by which 243 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  24. 24.Which of these is a perfect cube? (a) 3069 (b) 3156 (c) 2744
  25. 25.Which of these is a perfect cube? (a) 372 (b) 381 (c) 343
  26. 26.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 1283 (b) 1027 (c) 1000
  28. 28.Which of these is a perfect cube? (a) 73 (b) 64 (c) 75
  29. 29.What is 20³? =
  30. 30.What is 9³? =
  31. 31.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
  32. 32.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  33. 33.What is 14³? =
  34. 34.What is 11³? =
  35. 35.Which of these is a perfect cube? (a) 174 (b) 157 (c) 125
  36. 36.What is ∛64? =
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  39. 39.What is ∛9261? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 15
  2. 8
  3. 16
  4. 125
  5. 9
  6. 27
  7. 7
  8. 2
  9. 2
  10. 64
  11. 1728
  12. 64
  13. 9
  14. 343
  15. 512
  16. 12
  17. 13
  18. 8
  19. 18
  20. 7
  21. 3
  22. 3
  23. 8
  24. 2744
  25. 343
  26. 14
  27. 1000
  28. 64
  29. 8000
  30. 729
  31. 5
  32. 4
  33. 2744
  34. 1331
  35. 125
  36. 4
  37. 125
  38. 7
  39. 21
  40. 8

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