Chapter 49.1

Surface area of 3-dimensional shapes


What You'll Learn

Calculate surface area of rectangular prisms using length, width, and height
Apply the formula for surface area by finding areas of all six faces
Determine dimensions of individual blocks within composite shapes
Analyze how surface area changes when shapes are divided or cut into pieces
Compare surface areas using ratios between different 3D objects

What You'll Practice

1

Finding dimensions of single blocks from composite rectangular objects

2

Calculating total surface area by adding areas of all six rectangular faces

3

Computing surface area ratios between parts and whole objects

4

Working with multi-step problems involving division and surface area formulas

Why This Matters

Understanding surface area is essential for real-world applications like calculating paint needed for walls, wrapping packages, or designing containers. This skill is foundational for geometry, engineering, and architecture courses, and helps you visualize and measure 3D space accurately.

This Unit Includes

4 Video lessons
Learning resources

Skills

Surface Area
Rectangular Prisms
3D Geometry
Ratios
Spatial Reasoning
Measurement
Problem Solving
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