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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 956 · 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) 2464 (b) 2620 (c) 2197
  2. 2.Which of these is a perfect cube? (a) 2951 (b) 3147 (c) 2744
  3. 3.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
  4. 4.Which of these is a perfect cube? (a) 1000 (b) 1060 (c) 1078
  5. 5.What is 3³? =
  6. 6.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  7. 7.What is ∛4913? =
  8. 8.What is ∛8? =
  9. 9.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  10. 10.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
  11. 11.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  12. 12.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  13. 13.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  14. 14.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  15. 15.What is ∛6859? =
  16. 16.What is ∛729? =
  17. 17.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  18. 18.What is ∛15625? =
  19. 19.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  20. 20.What is ∛216? =
  21. 21.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  22. 22.What is ∛1331? =
  23. 23.Which of these is a perfect cube? (a) 777 (b) 901 (c) 729
  24. 24.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
  25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  26. 26.What is 13³? =
  27. 27.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
  28. 28.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 158 (b) 138 (c) 125
  30. 30.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  31. 31.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  32. 32.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  33. 33.What is 19³? =
  34. 34.Which of these is a perfect cube? (a) 1398 (b) 1386 (c) 1331
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.What is ∛512? =
  37. 37.What is ∛9261? =
  38. 38.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  39. 39.What is ∛2744? =
  40. 40.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?

Answer key

  1. 2197
  2. 2744
  3. 18
  4. 1000
  5. 27
  6. 8
  7. 17
  8. 2
  9. 8
  10. 5
  11. 8
  12. 27
  13. 9
  14. 9
  15. 19
  16. 9
  17. 216
  18. 25
  19. 5
  20. 6
  21. 64
  22. 11
  23. 729
  24. 49
  25. 27
  26. 2197
  27. 25
  28. 3
  29. 125
  30. 7
  31. 125
  32. 7
  33. 6859
  34. 1331
  35. 4
  36. 8
  37. 21
  38. 64
  39. 14
  40. 2

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