Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 949 · 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 1728 cubic cm. How long is each edge (in cm)?
2. 2.A big cube of edge 6 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
3. 3.What is the smallest whole number by which 864 must be divided to get a perfect cube?
4. 4.What is 19³? =
5. 5.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
6. 6.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
7. 7.What is ∛1000? =
8. 8.Which of these is a perfect cube? (a) 2305 (b) 2558 (c) 2197
9. 9.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
10. 10.Which of these is a perfect cube? (a) 1000 (b) 1037 (c) 1237
11. 11.What is ∛216? =
12. 12.What is ∛8000? =
13. 13.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
14. 14.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
15. 15.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
16. 16.What is the smallest whole number by which 189 must be multiplied to get a perfect cube?
17. 17.Which of these is a perfect cube? (a) 144 (b) 161 (c) 125
18. 18.What is ∛9261? =
19. 19.What is ∛1331? =
20. 20.What is the smallest whole number by which 576 must be multiplied to get a perfect cube?
21. 21.What is 2³? =
22. 22.Which of these is a perfect cube? (a) 1815 (b) 1929 (c) 1728
23. 23.What is 8³? =
24. 24.What is the smallest whole number by which 250 must be multiplied to get a perfect cube?
25. 25.Which of these is a perfect cube? (a) 292 (b) 313 (c) 216
26. 26.A cube has a volume of 4913 cubic cm. How long is each edge (in cm)?
27. 27.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
28. 28.What is ∛10648? =
29. 29.Which of these is a perfect cube? (a) 489 (b) 456 (c) 343
30. 30.What is 20³? =
31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
32. 32.What is the smallest whole number by which 56 must be divided to get a perfect cube?
33. 33.What is the smallest whole number by which 54 must be divided to get a perfect cube?
34. 34.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
35. 35.What is the smallest whole number by which 5400 must be multiplied to get a perfect cube?
36. 36.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
37. 37.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
38. 38.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
39. 39.What is 3³? =
40. 40.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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