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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 88 · 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 big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  2. 2.What is 4³? =
  3. 3.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
  4. 4.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  5. 5.What is the smallest whole number by which 1080 must be divided to get a perfect cube?
  6. 6.Which of these is a perfect cube? (a) 35 (b) 28 (c) 27
  7. 7.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  8. 8.What is ∛15625? =
  9. 9.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  10. 10.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  11. 11.Which of these is a perfect cube? (a) 3102 (b) 2744 (c) 3085
  12. 12.What is 11³? =
  13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  14. 14.What is the smallest whole number by which 448 must be divided to get a perfect cube?
  15. 15.Which of these is a perfect cube? (a) 343 (b) 399 (c) 481
  16. 16.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  17. 17.What is 7³? =
  18. 18.What is ∛1728? =
  19. 19.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  20. 20.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  21. 21.What is the smallest whole number by which 256 must be divided to get a perfect cube?
  22. 22.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  23. 23.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  24. 24.What is the smallest whole number by which 49 must be multiplied to get a perfect cube?
  25. 25.What is 5³? =
  26. 26.What is ∛2197? =
  27. 27.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  28. 28.What is the smallest whole number by which 6125 must be multiplied to get a perfect cube?
  29. 29.Which of these is a perfect cube? (a) 1169 (b) 1067 (c) 1000
  30. 30.Which of these is a perfect cube? (a) 1617 (b) 1553 (c) 1331
  31. 31.What is 10³? =
  32. 32.What is ∛125? =
  33. 33.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  34. 34.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  35. 35.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
  36. 36.Which of these is a perfect cube? (a) 64 (b) 88 (c) 98
  37. 37.What is 9³? =
  38. 38.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛64? =
  40. 40.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?

Answer key

  1. 64
  2. 64
  3. 4
  4. 8
  5. 5
  6. 27
  7. 3
  8. 25
  9. 64
  10. 8
  11. 2744
  12. 1331
  13. 14
  14. 7
  15. 343
  16. 11
  17. 343
  18. 12
  19. 125
  20. 125
  21. 4
  22. 216
  23. 2
  24. 7
  25. 125
  26. 13
  27. 27
  28. 7
  29. 1000
  30. 1331
  31. 1000
  32. 5
  33. 9
  34. 216
  35. 4
  36. 64
  37. 729
  38. 17
  39. 4
  40. 15

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