← Cubes and cube roots lesson New set →

Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 643 · 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.Which of these is a perfect cube? (a) 667 (b) 622 (c) 512
  2. 2.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  3. 3.What is 3³? =
  4. 4.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  5. 5.What is ∛6859? =
  6. 6.Which of these is a perfect cube? (a) 837 (b) 729 (c) 839
  7. 7.What is ∛1331? =
  8. 8.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
  9. 9.What is ∛8? =
  10. 10.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  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.What is 7³? =
  13. 13.Which of these is a perfect cube? (a) 343 (b) 376 (c) 427
  14. 14.What is the smallest whole number by which 24 must be divided to get a perfect cube?
  15. 15.What is ∛2197? =
  16. 16.Which of these is a perfect cube? (a) 1132 (b) 1000 (c) 1024
  17. 17.What is 6³? =
  18. 18.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  19. 19.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  20. 20.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
  21. 21.What is ∛512? =
  22. 22.What is 2³? =
  23. 23.What is 20³? =
  24. 24.What is the smallest whole number by which 128 must be multiplied to get a perfect cube?
  25. 25.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  26. 26.What is 4³? =
  27. 27.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  28. 28.What is ∛125? =
  29. 29.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  30. 30.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  31. 31.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  32. 32.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
  33. 33.What is ∛9261? =
  34. 34.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛15625? =
  36. 36.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  37. 37.What is the smallest whole number by which 576 must be divided to get a perfect cube?
  38. 38.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is ∛8000? =
  40. 40.Which of these is a perfect cube? (a) 27 (b) 52 (c) 45

Answer key

  1. 512
  2. 27
  3. 27
  4. 8
  5. 19
  6. 729
  7. 11
  8. 4
  9. 2
  10. 49
  11. 216
  12. 343
  13. 343
  14. 3
  15. 13
  16. 1000
  17. 216
  18. 49
  19. 15
  20. 6
  21. 8
  22. 8
  23. 8000
  24. 4
  25. 4
  26. 64
  27. 14
  28. 5
  29. 11
  30. 216
  31. 64
  32. 16
  33. 21
  34. 8
  35. 25
  36. 216
  37. 9
  38. 27
  39. 20
  40. 27

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