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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 365 · 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 the smallest whole number by which 5400 must be divided to get a perfect cube?
  2. 2.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  3. 3.What is the smallest whole number by which 3 must be divided to get a perfect cube?
  4. 4.What is 13³? =
  5. 5.Which of these is a perfect cube? (a) 174 (b) 152 (c) 125
  6. 6.What is the smallest whole number by which 81 must be multiplied to get a perfect cube?
  7. 7.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  8. 8.Which of these is a perfect cube? (a) 345 (b) 343 (c) 364
  9. 9.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  10. 10.What is ∛8? =
  11. 11.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 519 (b) 656 (c) 512
  13. 13.Which of these is a perfect cube? (a) 2408 (b) 2632 (c) 2197
  14. 14.What is 6³? =
  15. 15.What is the smallest whole number by which 200 must be divided to get a perfect cube?
  16. 16.What is 2³? =
  17. 17.What is 14³? =
  18. 18.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  21. 21.What is 11³? =
  22. 22.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  23. 23.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  24. 24.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  25. 25.What is 4³? =
  26. 26.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  27. 27.Which of these is a perfect cube? (a) 761 (b) 729 (c) 928
  28. 28.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  30. 30.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  31. 31.What is 3³? =
  32. 32.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  33. 33.What is 17³? =
  34. 34.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  35. 35.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  36. 36.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  37. 37.Which of these is a perfect cube? (a) 305 (b) 216 (c) 263
  38. 38.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  40. 40.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?

Answer key

  1. 25
  2. 4
  3. 3
  4. 2197
  5. 125
  6. 9
  7. 216
  8. 343
  9. 14
  10. 2
  11. 64
  12. 512
  13. 2197
  14. 216
  15. 25
  16. 8
  17. 2744
  18. 4
  19. 11
  20. 10
  21. 1331
  22. 216
  23. 27
  24. 7
  25. 64
  26. 125
  27. 729
  28. 216
  29. 5
  30. 9
  31. 27
  32. 125
  33. 4913
  34. 49
  35. 64
  36. 49
  37. 216
  38. 8
  39. 125
  40. 16

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