← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 443 · 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.What is the smallest whole number by which 7 must be divided to get a perfect cube?
  3. 3.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  4. 4.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is ∛3375? =
  6. 6.What is 7³? =
  7. 7.What is ∛216? =
  8. 8.Which of these is a perfect cube? (a) 1728 (b) 2089 (c) 1895
  9. 9.What is ∛15625? =
  10. 10.What is 12³? =
  11. 11.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.Which of these is a perfect cube? (a) 148 (b) 125 (c) 154
  13. 13.Which of these is a perfect cube? (a) 308 (b) 216 (c) 275
  14. 14.What is ∛1728? =
  15. 15.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
  16. 16.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  17. 17.Which of these is a perfect cube? (a) 1000 (b) 1244 (c) 1260
  18. 18.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  19. 19.Which of these is a perfect cube? (a) 1432 (b) 1331 (c) 1397
  20. 20.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
  21. 21.What is ∛10648? =
  22. 22.What is 17³? =
  23. 23.What is ∛729? =
  24. 24.What is ∛125? =
  25. 25.What is 2³? =
  26. 26.What is 15³? =
  27. 27.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  28. 28.What is 20³? =
  29. 29.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  30. 30.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 42 (b) 27 (c) 30
  35. 35.What is 4³? =
  36. 36.Which of these is a perfect cube? (a) 3748 (b) 3445 (c) 3375
  37. 37.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 2950 (b) 2744 (c) 3232
  39. 39.What is 18³? =
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?

Answer key

  1. 19
  2. 7
  3. 13
  4. 125
  5. 15
  6. 343
  7. 6
  8. 1728
  9. 25
  10. 1728
  11. 216
  12. 125
  13. 216
  14. 12
  15. 2
  16. 2
  17. 1000
  18. 5
  19. 1331
  20. 4
  21. 22
  22. 4913
  23. 9
  24. 5
  25. 8
  26. 3375
  27. 5
  28. 8000
  29. 4
  30. 64
  31. 125
  32. 6
  33. 9
  34. 27
  35. 64
  36. 3375
  37. 216
  38. 2744
  39. 5832
  40. 8

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