Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 50 · 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 6859 cubic cm. How long is each edge (in cm)?
2. 2.What is ∛3375? =
3. 3.What is 7³? =
4. 4.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
5. 5.What is ∛8? =
6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
7. 7.What is 2³? =
8. 8.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
9. 9.Which of these is a perfect cube? (a) 3871 (b) 3375 (c) 3515
10. 10.What is 5³? =
11. 11.Which of these is a perfect cube? (a) 159 (b) 131 (c) 125
12. 12.What is ∛5832? =
13. 13.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
14. 14.What is the smallest whole number by which 25 must be divided to get a perfect cube?
15. 15.What is ∛2744? =
16. 16.What is ∛10648? =
17. 17.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
18. 18.What is 6³? =
19. 19.A big cube of edge 6 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 4 must be divided to get a perfect cube?
21. 21.What is 14³? =
22. 22.What is 10³? =
23. 23.What is ∛343? =
24. 24.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
25. 25.What is 20³? =
26. 26.What is the smallest whole number by which 54 must be divided to get a perfect cube?
27. 27.What is ∛13824? =
28. 28.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
29. 29.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
30. 30.Which of these is a perfect cube? (a) 2268 (b) 2345 (c) 2197
31. 31.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
32. 32.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
33. 33.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
34. 34.What is ∛1728? =
35. 35.What is ∛216? =
36. 36.What is 4³? =
37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
38. 38.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
39. 39.What is 13³? =
40. 40.What is 8³? =

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