Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 43 · 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 1331 cubic cm. How long is each edge (in cm)?
2. 2.What is 7³? =
3. 3.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
4. 4.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
5. 5.What is ∛9261? =
6. 6.Which of these is a perfect cube? (a) 3256 (b) 3092 (c) 2744
7. 7.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
8. 8.Which of these is a perfect cube? (a) 2249 (b) 2296 (c) 2197
9. 9.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
10. 10.What is the smallest whole number by which 16 must be multiplied to get a perfect cube?
11. 11.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
12. 12.Which of these is a perfect cube? (a) 635 (b) 623 (c) 512
13. 13.What is the smallest whole number by which 675 must be multiplied to get a perfect cube?
14. 14.What is ∛4096? =
15. 15.What is the smallest whole number by which 49 must be divided to get a perfect cube?
16. 16.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
17. 17.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
18. 18.What is 2³? =
19. 19.What is ∛125? =
20. 20.What is 9³? =
21. 21.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
22. 22.What is ∛1728? =
23. 23.What is ∛5832? =
24. 24.What is ∛8000? =
25. 25.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
26. 26.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
27. 27.What is 13³? =
28. 28.What is 12³? =
29. 29.Which of these is a perfect cube? (a) 2112 (b) 1887 (c) 1728
30. 30.What is 18³? =
31. 31.What is 4³? =
32. 32.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
33. 33.What is 15³? =
34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.What is ∛3375? =
36. 36.Which of these is a perfect cube? (a) 27 (b) 38 (c) 46
37. 37.What is ∛13824? =
38. 38.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
39. 39.What is ∛1331? =
40. 40.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?

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