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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 193 · 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 6³? =
  3. 3.What is 16³? =
  4. 4.What is ∛12167? =
  5. 5.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
  6. 6.What is the smallest whole number by which 4 must be divided to get a perfect cube?
  7. 7.Which of these is a perfect cube? (a) 366 (b) 343 (c) 482
  8. 8.Which of these is a perfect cube? (a) 2197 (b) 2545 (c) 2663
  9. 9.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  10. 10.What is 3³? =
  11. 11.What is ∛125? =
  12. 12.Which of these is a perfect cube? (a) 2913 (b) 2744 (c) 2881
  13. 13.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  14. 14.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  15. 15.What is ∛15625? =
  16. 16.What is ∛5832? =
  17. 17.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
  18. 18.Which of these is a perfect cube? (a) 179 (b) 125 (c) 148
  19. 19.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  20. 20.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
  21. 21.Which of these is a perfect cube? (a) 1331 (b) 1339 (c) 1558
  22. 22.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  23. 23.What is 14³? =
  24. 24.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  25. 25.Which of these is a perfect cube? (a) 2133 (b) 1728 (c) 1750
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.What is the smallest whole number by which 72 must be multiplied to get a perfect cube?
  28. 28.Which of these is a perfect cube? (a) 630 (b) 516 (c) 512
  29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  30. 30.What is ∛64? =
  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.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
  33. 33.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
  34. 34.Which of these is a perfect cube? (a) 81 (b) 64 (c) 98
  35. 35.What is ∛3375? =
  36. 36.What is the smallest whole number by which 375 must be divided to get a perfect cube?
  37. 37.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  38. 38.Which of these is a perfect cube? (a) 30 (b) 32 (c) 27
  39. 39.What is 5³? =
  40. 40.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?

Answer key

  1. 64
  2. 216
  3. 4096
  4. 23
  5. 3
  6. 4
  7. 343
  8. 2197
  9. 8
  10. 27
  11. 5
  12. 2744
  13. 8
  14. 216
  15. 25
  16. 18
  17. 2
  18. 125
  19. 125
  20. 25
  21. 1331
  22. 11
  23. 2744
  24. 216
  25. 1728
  26. 10
  27. 3
  28. 512
  29. 13
  30. 4
  31. 125
  32. 2
  33. 17
  34. 64
  35. 15
  36. 3
  37. 216
  38. 27
  39. 125
  40. 6

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