10.5Surface Area of Prisms and Cylinders
Quick Answer
Prism: SA = 2B + Ph (2 bases + lateral area). Cylinder: SA = 2πr² + 2πrh. Both formulas add the two base areas to the lateral (side) area.
Essential Question
How does unfolding a three-dimensional solid into a net reveal the formula for its surface area?
Learning Goals
- 1Define lateral area and total surface area.
- 2Draw and interpret nets of prisms and cylinders.
- 3Apply the surface area formula for right prisms.
- 4Apply the surface area formula for right cylinders.
Key Vocabulary
Lateral area
The sum of the areas of all lateral (non-base) faces of a solid.
Net
A two-dimensional pattern that can be folded to form a three-dimensional solid.
Right prism
A prism in which the lateral edges are perpendicular to the bases.
Right cylinder
A cylinder in which the axis is perpendicular to the bases.
Full lesson content coming soon
Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.