Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 862 · 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 15³? =
2. 2.What is ∛216? =
3. 3.What is ∛1331? =
4. 4.What is ∛1728? =
5. 5.What is ∛15625? =
6. 6.A big cube of edge 3 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
7. 7.What is 8³? =
8. 8.A big cube of edge 15 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
9. 9.What is ∛13824? =
10. 10.What is 14³? =
11. 11.What is the smallest whole number by which 108 must be divided to get a perfect cube?
12. 12.What is ∛8000? =
13. 13.A cube has a volume of 216 cubic cm. How long is each edge (in cm)?
14. 14.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
15. 15.Which of these is a perfect cube? (a) 2744 (b) 3227 (c) 3249
16. 16.What is 18³? =
17. 17.What is the smallest whole number by which 1512 must be multiplied to get a perfect cube?
18. 18.What is 17³? =
19. 19.What is 3³? =
20. 20.What is 12³? =
21. 21.Which of these is a perfect cube? (a) 1629 (b) 1337 (c) 1331
22. 22.A big cube of edge 2 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
23. 23.Which of these is a perfect cube? (a) 2320 (b) 2437 (c) 2197
24. 24.A big cube of edge 6 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
25. 25.What is 6³? =
26. 26.What is ∛10648? =
27. 27.A cube has a volume of 729 cubic cm. How long is each edge (in cm)?
28. 28.What is ∛12167? =
29. 29.What is the smallest whole number by which 3125 must be multiplied to get a perfect cube?
30. 30.A cube has a volume of 6859 cubic cm. How long is each edge (in cm)?
31. 31.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
32. 32.Which of these is a perfect cube? (a) 220 (b) 286 (c) 216
33. 33.What is the smallest whole number by which 1600 must be multiplied to get a perfect cube?
34. 34.What is the smallest whole number by which 448 must be divided to get a perfect cube?
35. 35.Which of these is a perfect cube? (a) 466 (b) 343 (c) 368
36. 36.Which of these is a perfect cube? (a) 1246 (b) 1082 (c) 1000
37. 37.A big cube of edge 8 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
38. 38.What is ∛6859? =
39. 39.A cube has a volume of 8 cubic cm. How long is each edge (in cm)?
40. 40.Which of these is a perfect cube? (a) 187 (b) 125 (c) 137

Free maths worksheets lessons, practice and worksheets at talentjr.in/maths-worksheets