Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 664 · 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 216 cubic cm. How long is each edge (in cm)?
2. 2.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
3. 3.What is ∛216? =
4. 4.What is 5³? =
5. 5.What is the smallest whole number by which 1080 must be multiplied to get a perfect cube?
6. 6.What is ∛343? =
7. 7.What is 12³? =
8. 8.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
9. 9.What is 18³? =
10. 10.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?
11. 11.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
12. 12.Which of these is a perfect cube? (a) 72 (b) 64 (c) 107
13. 13.A cube has a volume of 2744 cubic cm. How long is each edge (in cm)?
14. 14.What is the smallest whole number by which 625 must be multiplied to get a perfect cube?
15. 15.Which of these is a perfect cube? (a) 1759 (b) 1728 (c) 1953
16. 16.What is the smallest whole number by which 392 must be divided to get a perfect cube?
17. 17.Which of these is a perfect cube? (a) 2628 (b) 2578 (c) 2197
18. 18.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
19. 19.What is the smallest whole number by which 32 must be divided to get a perfect cube?
20. 20.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
21. 21.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
22. 22.What is 13³? =
23. 23.What is 15³? =
24. 24.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
25. 25.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
26. 26.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
27. 27.Which of these is a perfect cube? (a) 1331 (b) 1491 (c) 1489
28. 28.Which of these is a perfect cube? (a) 429 (b) 473 (c) 343
29. 29.What is 2³? =
30. 30.What is the smallest whole number by which 432 must be divided to get a perfect cube?
31. 31.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
32. 32.What is ∛4913? =
33. 33.A big cube of edge 16 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
34. 34.What is the smallest whole number by which 243 must be divided to get a perfect cube?
35. 35.What is the smallest whole number by which 500 must be divided to get a perfect cube?
36. 36.Which of these is a perfect cube? (a) 568 (b) 512 (c) 605
37. 37.What is ∛9261? =
38. 38.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
39. 39.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
40. 40.Which of these is a perfect cube? (a) 186 (b) 125 (c) 173

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