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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 200 · 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 cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  2. 2.What is ∛3375? =
  3. 3.What is 16³? =
  4. 4.What is 11³? =
  5. 5.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  6. 6.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  7. 7.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  8. 8.What is the smallest whole number by which 243 must be divided to get a perfect cube?
  9. 9.What is 20³? =
  10. 10.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
  11. 11.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
  12. 12.Which of these is a perfect cube? (a) 1331 (b) 1346 (c) 1521
  13. 13.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  14. 14.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
  15. 15.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  16. 16.Which of these is a perfect cube? (a) 3531 (b) 3375 (c) 3398
  17. 17.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  18. 18.What is ∛1331? =
  19. 19.What is ∛6859? =
  20. 20.What is the smallest whole number by which 875 must be divided to get a perfect cube?
  21. 21.What is 2³? =
  22. 22.What is the smallest whole number by which 56 must be divided to get a perfect cube?
  23. 23.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  24. 24.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
  26. 26.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
  27. 27.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  28. 28.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  29. 29.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
  30. 30.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  31. 31.What is the smallest whole number by which 6125 must be divided to get a perfect cube?
  32. 32.What is ∛13824? =
  33. 33.What is the smallest whole number by which 432 must be multiplied to get a perfect cube?
  34. 34.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  35. 35.What is ∛5832? =
  36. 36.What is the smallest whole number by which 135 must be divided to get a perfect cube?
  37. 37.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  38. 38.What is ∛1000? =
  39. 39.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  40. 40.Which of these is a perfect cube? (a) 125 (b) 133 (c) 130

Answer key

  1. 17
  2. 15
  3. 4096
  4. 1331
  5. 64
  6. 216
  7. 11
  8. 9
  9. 8000
  10. 3
  11. 2
  12. 1331
  13. 20
  14. 14
  15. 3
  16. 3375
  17. 125
  18. 11
  19. 19
  20. 7
  21. 8
  22. 7
  23. 8
  24. 8
  25. 5
  26. 4
  27. 9
  28. 27
  29. 9
  30. 4
  31. 49
  32. 24
  33. 4
  34. 13
  35. 18
  36. 5
  37. 8
  38. 10
  39. 64
  40. 125

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