Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 915 · 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 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
2. 2.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
3. 3.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
4. 4.Which of these is a perfect cube? (a) 512 (b) 564 (c) 593
5. 5.What is 16³? =
6. 6.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
7. 7.What is the smallest whole number by which 5400 must be divided to get a perfect cube?
8. 8.Which of these is a perfect cube? (a) 2197 (b) 2589 (c) 2248
9. 9.What is the smallest whole number by which 2 must be multiplied to get a perfect cube?
10. 10.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
11. 11.What is ∛5832? =
12. 12.What is the smallest whole number by which 54 must be divided to get a perfect cube?
13. 13.A big cube of edge 4 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
14. 14.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
15. 15.A big cube of edge 8 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
16. 16.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
17. 17.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
18. 18.What is ∛13824? =
19. 19.Which of these is a perfect cube? (a) 248 (b) 216 (c) 266
20. 20.A big cube of edge 6 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
21. 21.Which of these is a perfect cube? (a) 3375 (b) 3609 (c) 3416
22. 22.Which of these is a perfect cube? (a) 75 (b) 67 (c) 64
23. 23.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
24. 24.What is 3³? =
25. 25.What is ∛1000? =
26. 26.What is the smallest whole number by which 56 must be multiplied to get a perfect cube?
27. 27.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
28. 28.A big cube of edge 10 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
29. 29.What is the smallest whole number by which 9 must be divided to get a perfect cube?
30. 30.What is ∛125? =
31. 31.What is the smallest whole number by which 864 must be multiplied to get a perfect cube?
32. 32.What is 4³? =
33. 33.A cube has a volume of 5832 cubic cm. How long is each edge (in cm)?
34. 34.A big cube of edge 20 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
35. 35.What is the smallest whole number by which 189 must be divided to get a perfect cube?
36. 36.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
37. 37.Which of these is a perfect cube? (a) 428 (b) 343 (c) 347
38. 38.Which of these is a perfect cube? (a) 125 (b) 182 (c) 197
39. 39.What is 19³? =
40. 40.What is the smallest whole number by which 32 must be multiplied to get a perfect cube?

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