1. What Are Square and Cube Formulas?

The square of a number is the result of multiplying the number by itself, while the cube is the result of multiplying the number by itself twice. These are fundamental operations in mathematics.

2. How Does the Calculator Work?

The calculator uses these simple formulas:

Where:

• \( n \) — Any real number
• \( n^2 \) — Square of the number
• \( n^3 \) — Cube of the number

3. Mathematical Properties

Key Properties:

• Squares are always non-negative
• Cubes preserve the sign of the original number
• Perfect squares are integers that are squares of integers
• Perfect cubes are integers that are cubes of integers

4. Using the Calculator

Instructions: Simply enter any number (positive, negative, or decimal) and the calculator will compute its square and cube values.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between square and cube?
A: Squaring multiplies a number by itself once, while cubing multiplies it by itself twice.

Q2: Can I calculate square roots with this?
A: No, this calculator only computes squares and cubes. Square roots would require a different operation.

Q3: What happens with negative numbers?
A: Their squares become positive, while cubes remain negative.

Q4: What's the largest number I can enter?
A: The calculator can handle very large numbers up to what PHP can process (about 1.8e308).

Q5: Are there practical applications for squares and cubes?
A: Yes! Squares are used in area calculations, cubes in volume, and both appear throughout physics and engineering.