Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 588 · 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 ∛15625? =
2. 2.What is ∛27? =
3. 3.What is 16³? =
4. 4.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
5. 5.Which of these is a perfect cube? (a) 901 (b) 729 (c) 839
6. 6.Which of these is a perfect cube? (a) 176 (b) 163 (c) 125
7. 7.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
8. 8.What is ∛10648? =
9. 9.A cube has a volume of 64 cubic cm. How long is each edge (in cm)?
10. 10.A cube has a volume of 125 cubic cm. How long is each edge (in cm)?
11. 11.A cube has a volume of 4096 cubic cm. How long is each edge (in cm)?
12. 12.What is 6³? =
13. 13.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
14. 14.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
15. 15.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
16. 16.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
17. 17.Which of these is a perfect cube? (a) 409 (b) 381 (c) 343
18. 18.What is the smallest whole number by which 3136 must be divided to get a perfect cube?
19. 19.What is 18³? =
20. 20.What is 15³? =
21. 21.What is 11³? =
22. 22.What is the smallest whole number by which 192 must be divided to get a perfect cube?
23. 23.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
24. 24.Which of these is a perfect cube? (a) 512 (b) 647 (c) 649
25. 25.What is ∛6859? =
26. 26.What is ∛1331? =
27. 27.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
28. 28.Which of these is a perfect cube? (a) 2287 (b) 2595 (c) 2197
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.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
31. 31.What is 17³? =
32. 32.A big cube of edge 12 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
33. 33.What is 7³? =
34. 34.What is the smallest whole number by which 875 must be divided to get a perfect cube?
35. 35.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
36. 36.What is ∛216? =
37. 37.What is ∛64? =
38. 38.What is 5³? =
39. 39.What is 13³? =
40. 40.A cube has a volume of 343 cubic cm. How long is each edge (in cm)?

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