Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 452 · 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 2197 cubic cm. How long is each edge (in cm)?
2. 2.Which of these is a perfect cube? (a) 660 (b) 512 (c) 590
3. 3.What is ∛512? =
4. 4.What is ∛1000? =
5. 5.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
6. 6.A big cube of edge 18 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
7. 7.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
8. 8.What is the smallest whole number by which 256 must be divided to get a perfect cube?
9. 9.What is 4³? =
10. 10.Which of these is a perfect cube? (a) 1728 (b) 2147 (c) 2160
11. 11.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
12. 12.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
13. 13.What is the smallest whole number by which 200 must be multiplied to get a perfect cube?
14. 14.What is the smallest whole number by which 625 must be divided to get a perfect cube?
15. 15.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
16. 16.Which of these is a perfect cube? (a) 1436 (b) 1331 (c) 1661
17. 17.What is ∛125? =
18. 18.Which of these is a perfect cube? (a) 2197 (b) 2237 (c) 2382
19. 19.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
20. 20.What is ∛216? =
21. 21.What is ∛15625? =
22. 22.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
23. 23.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
24. 24.What is the smallest whole number by which 500 must be multiplied to get a perfect cube?
25. 25.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
26. 26.What is the smallest whole number by which 375 must be divided to get a perfect cube?
27. 27.What is the smallest whole number by which 3136 must be multiplied to get a perfect cube?
28. 28.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
29. 29.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
30. 30.What is the smallest whole number by which 54 must be multiplied to get a perfect cube?
31. 31.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
32. 32.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?
33. 33.What is ∛8? =
34. 34.What is 17³? =
35. 35.What is the smallest whole number by which 200 must be divided to get a perfect cube?
36. 36.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
37. 37.What is ∛4096? =
38. 38.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
39. 39.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
40. 40.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?

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