← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 506 · 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 27 cubic cm. How long is each edge (in cm)?
  2. 2.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  3. 3.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  4. 4.A big cube of edge 12 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 128 must be multiplied to get a perfect cube?
  6. 6.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛1728? =
  8. 8.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  9. 9.What is ∛125? =
  10. 10.What is 9³? =
  11. 11.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  12. 12.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  13. 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  14. 14.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  15. 15.Which of these is a perfect cube? (a) 1331 (b) 1493 (c) 1420
  16. 16.What is 18³? =
  17. 17.What is ∛1331? =
  18. 18.What is ∛5832? =
  19. 19.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.Which of these is a perfect cube? (a) 2197 (b) 2603 (c) 2280
  21. 21.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  22. 22.What is 15³? =
  23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.What is 3³? =
  25. 25.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  26. 26.What is 19³? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  28. 28.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is ∛1000? =
  30. 30.What is ∛27? =
  31. 31.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
  33. 33.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 1024 (b) 1067 (c) 1000
  35. 35.What is ∛8? =
  36. 36.What is ∛343? =
  37. 37.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 235 (b) 216 (c) 251
  39. 39.What is ∛3375? =
  40. 40.Which of these is a perfect cube? (a) 633 (b) 512 (c) 679

Answer key

  1. 3
  2. 64
  3. 125
  4. 216
  5. 4
  6. 7
  7. 12
  8. 17
  9. 5
  10. 729
  11. 18
  12. 7
  13. 125
  14. 27
  15. 1331
  16. 5832
  17. 11
  18. 18
  19. 8
  20. 2197
  21. 4
  22. 3375
  23. 27
  24. 27
  25. 16
  26. 6859
  27. 8
  28. 216
  29. 10
  30. 3
  31. 27
  32. 49
  33. 8
  34. 1000
  35. 2
  36. 7
  37. 64
  38. 216
  39. 15
  40. 512

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