Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 110 · 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.What is ∛8000? =
2. 2.What is ∛15625? =
3. 3.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
4. 4.Which of these is a perfect cube? (a) 1331 (b) 1502 (c) 1446
5. 5.What is 20³? =
6. 6.What is ∛8? =
7. 7.What is 15³? =
8. 8.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
9. 9.What is 8³? =
10. 10.What is ∛1000? =
11. 11.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
12. 12.What is 3³? =
13. 13.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
14. 14.What is ∛5832? =
15. 15.Which of these is a perfect cube? (a) 3375 (b) 3631 (c) 3569
16. 16.What is ∛1728? =
17. 17.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
18. 18.What is the smallest whole number by which 256 must be multiplied to get a perfect cube?
19. 19.What is ∛4096? =
20. 20.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
21. 21.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
22. 22.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
23. 23.Which of these is a perfect cube? (a) 2333 (b) 2312 (c) 2197
24. 24.Which of these is a perfect cube? (a) 343 (b) 391 (c) 428
25. 25.What is 17³? =
26. 26.Which of these is a perfect cube? (a) 216 (b) 224 (c) 228
27. 27.What is 9³? =
28. 28.What is ∛10648? =
29. 29.What is the smallest whole number by which 432 must be divided to get a perfect cube?
30. 30.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
31. 31.A big cube of edge 12 cm is cut into small cubes of edge 4 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 18³? =
34. 34.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
36. 36.A cube has a volume of 1728 cubic cm. How long is each edge (in cm)?
37. 37.What is 5³? =
38. 38.What is ∛12167? =
39. 39.What is the smallest whole number by which 256 must be divided to get a perfect cube?
40. 40.What is ∛729? =

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