Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 571 · 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 big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
2. 2.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
3. 3.What is 12³? =
4. 4.What is 11³? =
5. 5.What is 10³? =
6. 6.What is the smallest whole number by which 40 must be multiplied to get a perfect cube?
7. 7.What is ∛4913? =
8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
9. 9.What is the smallest whole number by which 9 must be divided to get a perfect cube?
10. 10.Which of these is a perfect cube? (a) 4008 (b) 3375 (c) 3925
11. 11.What is 14³? =
12. 12.What is ∛1728? =
13. 13.Which of these is a perfect cube? (a) 1784 (b) 1971 (c) 1728
14. 14.What is ∛64? =
15. 15.What is 7³? =
16. 16.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
17. 17.What is the smallest whole number by which 10584 must be divided to get a perfect cube?
18. 18.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
19. 19.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
20. 20.What is 19³? =
21. 21.What is 15³? =
22. 22.What is ∛2744? =
23. 23.What is 18³? =
24. 24.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
25. 25.Which of these is a perfect cube? (a) 125 (b) 188 (c) 144
26. 26.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
27. 27.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
28. 28.What is the smallest whole number by which 5 must be multiplied to get a perfect cube?
29. 29.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
30. 30.What is the smallest whole number by which 875 must be multiplied to get a perfect cube?
31. 31.What is the smallest whole number by which 9 must be multiplied to get a perfect cube?
32. 32.Which of these is a perfect cube? (a) 3059 (b) 2744 (c) 3068
33. 33.What is ∛12167? =
34. 34.What is ∛1331? =
35. 35.What is 20³? =
36. 36.What is the smallest whole number by which 648 must be divided to get a perfect cube?
37. 37.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.What is 4³? =
39. 39.What is 13³? =
40. 40.What is ∛15625? =

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