Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 494 · 40 sums

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.

1. 1.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
2. 2.What is ∛12167? =
3. 3.What is 16³? =
4. 4.Which of these is a perfect cube? (a) 216 (b) 222 (c) 233
5. 5.What is 19³? =
6. 6.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
7. 7.Which of these is a perfect cube? (a) 1160 (b) 1000 (c) 1017
8. 8.What is ∛1728? =
9. 9.What is ∛8000? =
10. 10.What is ∛64? =
11. 11.What is 20³? =
12. 12.What is ∛216? =
13. 13.What is ∛729? =
14. 14.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
15. 15.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
17. 17.What is the smallest whole number by which 40 must be divided to get a perfect cube?
18. 18.What is 4³? =
19. 19.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
20. 20.What is 3³? =
21. 21.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
22. 22.What is ∛5832? =
23. 23.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
24. 24.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
25. 25.What is 7³? =
26. 26.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
27. 27.What is 8³? =
28. 28.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
29. 29.What is ∛343? =
30. 30.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
31. 31.What is 5³? =
32. 32.What is the smallest whole number by which 128 must be divided to get a perfect cube?
33. 33.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
34. 34.What is ∛9261? =
35. 35.What is 9³? =
36. 36.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
37. 37.Which of these is a perfect cube? (a) 40 (b) 43 (c) 27
38. 38.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
39. 39.Which of these is a perfect cube? (a) 2744 (b) 2956 (c) 3240
40. 40.Which of these is a perfect cube? (a) 2107 (b) 1728 (c) 1857

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