# Geometric Formulas for Area, Perimeter, and Volume

This page presents a comprehensive overview of **area, perimeter and volume formulas** for various geometric shapes, essential for **6th-grade math** and beyond. The formulas are accompanied by visual representations to aid understanding.

## Square

The formula for the area of a square is provided:

**Formula**: A = S × S

Where S represents the side length of the square.

**Example**: For a square with side length 3, the area would be A = 3² = 9.

## Rectangle

For rectangles, the area formula is given as:

**Formula**: A = l × w

Where l is the length and w is the width of the rectangle.

## Parallelogram

The area formula for a parallelogram is presented:

**Formula**: A = b × h

Where b is the base and h is the height of the parallelogram.

## Triangle

The area formula for a triangle is shown:

**Formula**: A = 1/2 × b × h

Where b is the base and h is the height of the triangle.

**Highlight**: The perimeter formula for a triangle is also provided: P = a + b + c, where a, b, and c are the lengths of the three sides.

## Cube

For three-dimensional shapes, the volume formula for a cube is given:

**Formula**: V = S³

Where S is the length of one side of the cube.

**Example**: For a cube with side length 5, the volume would be V = 5³ = 125.

## Rectangular Prism

The volume formula for a rectangular prism is presented:

**Formula**: V = l × w × h

Where l is the length, w is the width, and h is the height of the prism.

**Highlight**: The perimeter formula for the base of a rectangular prism is also provided: P = 2l + 2w.

These formulas are crucial for solving problems related to **area, perimeter, and volume** in geometry. They form the foundation for more advanced mathematical concepts and are essential for students to master in **6th-grade math** and beyond.