#AP SAT (Digital) Math: Area & Volume - Your Ultimate Study Guide 🚀

Hey there! Let's get you prepped for the AP SAT (Digital) Math section focusing on area and volume. This guide is designed to be your go-to resource, especially the night before the exam. We'll make sure you're not just memorizing formulas, but truly understanding how to apply them. Let's dive in!

#📐 Area Calculations for 2D Shapes

Area is all about measuring the space inside a flat shape. It's like figuring out how much carpet you need for a room. Let's break it down:

#Basic Shapes

• Rectangle: The classic! Multiply length by width.
  $$A = l × w$$

• Square: A special rectangle where all sides are equal. Just square one side. $$A = s²$$

• Parallelogram: Like a tilted rectangle. Multiply base by height. $$A = b × h$$

• Triangle: Half of a parallelogram. Multiply base by height, then divide by 2. $$A = (b × h) ÷ 2$$

• Trapezoid: Add the lengths of the parallel sides, multiply by the height, and divide by 2. $$A = ((a + b) × h) ÷ 2$$

#Circular and Composite Shapes

• Circle: Use pi (π) times the radius squared. Remember, π ≈ 3.14159 or 22/7. $$A = πr²$$

• Composite Shapes: These are shapes made up of simpler shapes. Break them down, find the area of each part, and then add them up. It's like solving a puzzle! 🧩

  • Example: An L-shaped room? Divide it into two rectangles, find each area, and add them together. Easy peasy!

#🧊 Volume of 3D Figures

Volume measures the space inside a 3D object. It's like figuring out how much water a container can hold. Let's explore:

#Prisms and Cylinders

• Rectangular Prism (Box): Multiply length, width, and height. ...