The lateral area (L.A.) of a prism is the sum of the areas of the lateral faces. The surface area (S.A.) is the sum of the lateral area and the area of the two bases.
Problem 1 Using a Net to Find Surface Area of a Prism
Think
How do you know what units to use?
In the prism, the rectangle marked 5 on one side and 4 on the other has area
What is the surface area of the prism below? Use a net.
Draw a net for the prism. Then calculate the surface area.
The surface area of the prism is
✓ Got It?
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What is the surface area of the triangular prism? Use a net.
You can find formulas for lateral and surface areas of a prism by using a net.
You can use the formulas with any right prism.
Dynamic Activity
Surface and Lateral Area of Prisms and Cylinders
Take note Theorem 11-1: Lateral and Surface Areas of a Prism
The lateral area of a right prism is the product of the perimeter of the base and the height of the prism.
The surface area of a right prism is the sum of the lateral area and the areas of the two bases.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs