← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 27 · 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 6859 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  3. 3.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  5. 5.What is ∛343? =
  6. 6.What is the smallest whole number by which 32 must be divided to get a perfect cube?
  7. 7.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  8. 8.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  9. 9.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  10. 10.What is 16³? =
  11. 11.What is 8³? =
  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.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.Which of these is a perfect cube? (a) 230 (b) 216 (c) 217
  15. 15.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.What is ∛2197? =
  17. 17.What is the smallest whole number by which 24 must be multiplied to get a perfect cube?
  18. 18.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  19. 19.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  20. 20.What is 11³? =
  21. 21.What is ∛15625? =
  22. 22.Which of these is a perfect cube? (a) 2576 (b) 2197 (c) 2282
  23. 23.What is 20³? =
  24. 24.Which of these is a perfect cube? (a) 2744 (b) 2766 (c) 3123
  25. 25.What is 18³? =
  26. 26.What is 7³? =
  27. 27.What is ∛216? =
  28. 28.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 1331 (b) 1517 (c) 1535
  30. 30.What is 4³? =
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 108 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  34. 34.What is 2³? =
  35. 35.Which of these is a perfect cube? (a) 790 (b) 813 (c) 729
  36. 36.What is the smallest whole number by which 9 must be divided to get a perfect cube?
  37. 37.What is 3³? =
  38. 38.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  39. 39.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  40. 40.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?

Answer key

  1. 19
  2. 8
  3. 8
  4. 125
  5. 7
  6. 4
  7. 13
  8. 16
  9. 3
  10. 4096
  11. 512
  12. 64
  13. 216
  14. 216
  15. 64
  16. 13
  17. 9
  18. 20
  19. 3
  20. 1331
  21. 25
  22. 2197
  23. 8000
  24. 2744
  25. 5832
  26. 343
  27. 6
  28. 4
  29. 1331
  30. 64
  31. 125
  32. 2
  33. 18
  34. 8
  35. 729
  36. 9
  37. 27
  38. 27
  39. 5
  40. 2

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