← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 585 · 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 8000 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛4913? =
  3. 3.What is 2³? =
  4. 4.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  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 3³? =
  7. 7.Which of these is a perfect cube? (a) 216 (b) 231 (c) 268
  8. 8.What is ∛1000? =
  9. 9.What is ∛27? =
  10. 10.What is 12³? =
  11. 11.What is 5³? =
  12. 12.What is the smallest whole number by which 432 must be divided to get a perfect cube?
  13. 13.What is ∛3375? =
  14. 14.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  15. 15.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  16. 16.Which of these is a perfect cube? (a) 127 (b) 194 (c) 125
  17. 17.What is 17³? =
  18. 18.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  19. 19.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  20. 20.What is ∛15625? =
  21. 21.Which of these is a perfect cube? (a) 2141 (b) 1728 (c) 1799
  22. 22.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  23. 23.What is 16³? =
  24. 24.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  26. 26.Which of these is a perfect cube? (a) 343 (b) 374 (c) 453
  27. 27.What is ∛343? =
  28. 28.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.What is ∛125? =
  30. 30.Which of these is a perfect cube? (a) 1578 (b) 1331 (c) 1395
  31. 31.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  32. 32.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  33. 33.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  34. 34.What is 18³? =
  35. 35.What is ∛8000? =
  36. 36.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  37. 37.Which of these is a perfect cube? (a) 512 (b) 637 (c) 648
  38. 38.What is 8³? =
  39. 39.What is 4³? =
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 20
  2. 17
  3. 8
  4. 15
  5. 64
  6. 27
  7. 216
  8. 10
  9. 3
  10. 1728
  11. 125
  12. 2
  13. 15
  14. 4
  15. 4
  16. 125
  17. 4913
  18. 14
  19. 8
  20. 25
  21. 1728
  22. 5
  23. 4096
  24. 8
  25. 18
  26. 343
  27. 7
  28. 27
  29. 5
  30. 1331
  31. 7
  32. 216
  33. 5
  34. 5832
  35. 20
  36. 8
  37. 512
  38. 512
  39. 64
  40. 6

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