← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 498 · 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 512 cubic cm. How long is each edge (in cm)?
  2. 2.Which of these is a perfect cube? (a) 148 (b) 199 (c) 125
  3. 3.Which of these is a perfect cube? (a) 301 (b) 273 (c) 216
  4. 4.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.What is ∛1000? =
  7. 7.What is 10³? =
  8. 8.What is ∛2744? =
  9. 9.What is 3³? =
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.What is ∛343? =
  12. 12.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  14. 14.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  15. 15.What is the smallest whole number by which 25 must be divided to get a perfect cube?
  16. 16.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 1017 (b) 1000 (c) 1019
  18. 18.What is ∛729? =
  19. 19.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  20. 20.What is the smallest whole number by which 864 must be divided to get a perfect cube?
  21. 21.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  22. 22.Which of these is a perfect cube? (a) 3385 (b) 3375 (c) 3887
  23. 23.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  24. 24.What is the smallest whole number by which 392 must be divided to get a perfect cube?
  25. 25.What is the smallest whole number by which 81 must be divided to get a perfect cube?
  26. 26.Which of these is a perfect cube? (a) 2308 (b) 2687 (c) 2197
  27. 27.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  29. 29.What is 18³? =
  30. 30.What is 12³? =
  31. 31.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  35. 35.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  36. 36.Which of these is a perfect cube? (a) 37 (b) 27 (c) 31
  37. 37.What is ∛27? =
  38. 38.What is 11³? =
  39. 39.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is 8³? =

Answer key

  1. 8
  2. 125
  3. 216
  4. 64
  5. 64
  6. 10
  7. 1000
  8. 14
  9. 27
  10. 27
  11. 7
  12. 64
  13. 3
  14. 9
  15. 25
  16. 13
  17. 1000
  18. 9
  19. 7
  20. 4
  21. 216
  22. 3375
  23. 4
  24. 49
  25. 3
  26. 2197
  27. 64
  28. 7
  29. 5832
  30. 1728
  31. 8
  32. 20
  33. 16
  34. 7
  35. 125
  36. 27
  37. 3
  38. 1331
  39. 125
  40. 512

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets