To expand $(61)^3$, we calculate:

$61^3 = 61 \times 61 \times 61$

First, find $61 \times 61$:

$61 \times 61 = 3721$

Now, multiply the result by 61:

$3721 \times 61 = 226981$

Thus, the cube of 61 is:

$61^3 = 226981$

Would you like more details on the steps? Feel free to ask any questions!

Here are some related questions:

1. How do you expand cubes of larger numbers, such as $(70)^3$?
2. What is the formula for expanding cubes algebraically?
3. Can you demonstrate the cube of a binomial expression?
4. What is the difference between squaring and cubing a number?
5. How can cube roots be calculated for large numbers?

Tip: When multiplying large numbers, break them into manageable parts (like using distributive property or applying methods such as long multiplication).