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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 275 · 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) 424 (b) 343 (c) 350
  2. 2.What is 9³? =
  3. 3.What is 12³? =
  4. 4.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  5. 5.What is ∛343? =
  6. 6.What is the smallest whole number by which 5 must be divided to get a perfect cube?
  7. 7.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  9. 9.What is 4³? =
  10. 10.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  11. 11.What is 19³? =
  12. 12.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  13. 13.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 128 must be divided to get a perfect cube?
  16. 16.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  17. 17.What is 10³? =
  18. 18.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  19. 19.Which of these is a perfect cube? (a) 1468 (b) 1331 (c) 1396
  20. 20.What is ∛512? =
  21. 21.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
  22. 22.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  23. 23.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 1323 must be multiplied to get a perfect cube?
  26. 26.What is ∛4913? =
  27. 27.What is ∛216? =
  28. 28.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  29. 29.What is ∛4096? =
  30. 30.Which of these is a perfect cube? (a) 87 (b) 64 (c) 112
  31. 31.Which of these is a perfect cube? (a) 3454 (b) 3445 (c) 3375
  32. 32.What is ∛9261? =
  33. 33.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  34. 34.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  35. 35.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  36. 36.What is 3³? =
  37. 37.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  38. 38.What is the smallest whole number by which 7 must be multiplied to get a perfect cube?
  39. 39.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  40. 40.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

Answer key

  1. 343
  2. 729
  3. 1728
  4. 9
  5. 7
  6. 5
  7. 8
  8. 4
  9. 64
  10. 125
  11. 6859
  12. 27
  13. 8
  14. 7
  15. 2
  16. 216
  17. 1000
  18. 8
  19. 1331
  20. 8
  21. 12
  22. 7
  23. 5
  24. 216
  25. 7
  26. 17
  27. 6
  28. 3
  29. 16
  30. 64
  31. 3375
  32. 21
  33. 8
  34. 9
  35. 2
  36. 27
  37. 27
  38. 49
  39. 7
  40. 64

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