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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 465 · 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) 125 (b) 177 (c) 148
  2. 2.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  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 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  5. 5.What is 6³? =
  6. 6.What is the smallest whole number by which 7 must be multiplied 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.What is 10³? =
  9. 9.A big cube of edge 12 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  10. 10.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  11. 11.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  12. 12.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  13. 13.Which of these is a perfect cube? (a) 2222 (b) 2197 (c) 2532
  14. 14.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  16. 16.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
  17. 17.What is ∛1000? =
  18. 18.What is ∛216? =
  19. 19.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
  20. 20.Which of these is a perfect cube? (a) 729 (b) 774 (c) 890
  21. 21.What is 15³? =
  22. 22.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.What is 2³? =
  24. 24.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is 3³? =
  26. 26.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 2759 (b) 2744 (c) 2893
  29. 29.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  30. 30.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  31. 31.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  33. 33.What is 18³? =
  34. 34.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  35. 35.Which of these is a perfect cube? (a) 307 (b) 216 (c) 236
  36. 36.Which of these is a perfect cube? (a) 93 (b) 75 (c) 64
  37. 37.What is ∛10648? =
  38. 38.Which of these is a perfect cube? (a) 1448 (b) 1526 (c) 1331
  39. 39.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  40. 40.What is ∛9261? =

Answer key

  1. 125
  2. 20
  3. 8
  4. 8
  5. 216
  6. 49
  7. 13
  8. 1000
  9. 64
  10. 216
  11. 7
  12. 2
  13. 2197
  14. 27
  15. 11
  16. 49
  17. 10
  18. 6
  19. 49
  20. 729
  21. 3375
  22. 125
  23. 8
  24. 125
  25. 27
  26. 5
  27. 49
  28. 2744
  29. 7
  30. 216
  31. 64
  32. 216
  33. 5832
  34. 14
  35. 216
  36. 64
  37. 22
  38. 1331
  39. 8
  40. 21

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