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).

Learn how to expand the cube of 61, where 61^3 is calculated step-by-step. This detailed guide covers key mathematical concepts such as exponentiation and multiplication. Ideal for middle school students (Grades 6-8) looking to understand cube calculations.

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