Final answer:
To find the cube root of 6, we estimate it to be around 1.8. Cubing this estimation yields a value close to 6.
Step-by-step explanation:
To find the cube root of 6, we need to determine what number, when cubed, equals 6. Starting with an assumption, let's try cubing 2: 2 * 2 * 2 = 8, which is larger than 6. Now, let's try cubing 1: 1 * 1 * 1 = 1, which is smaller than 6. So, the cube root of 6 is between 1 and 2.
We can estimate the cube root of 6 to be around 1.8. To verify, we can cube 1.8: 1.8 * 1.8 * 1.8 ≈ 6.05, which is close to 6. Therefore, 6 1/3 is approximately equivalent to the cube root of 6.