Martha’s house is shaped like a square pyramid with four congruent equilateral triangles for its faces. All of the edges are 60 feet long. If the faces.

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Presentation transcript:

Martha’s house is shaped like a square pyramid with four congruent equilateral triangles for its faces. All of the edges are 60 feet long. If the faces of the house were flat, what would be the total surface area of the house including the floor? Round your answer to the nearest hundredth. Problem of the Day

Section 12-2a Surface Areas of Prisms

Then Now Objectives You found the areas of polygons. Find lateral areas and surface areas of prisms.

Common Core State Standards Content Standards G.MG.3 – Apply geometric methods to solve problems. Mathematical Practices 1) Make sense of problems and persevere in solving them. 6) Attend to precision. Common Core State Standards

Bases: the two parallel and congruent faces Bases: the two parallel and congruent faces. Lateral Faces: faces that are not bases. Lateral Edges: the lines in which lateral faces intersect. Base Edges: the sides of the bases. Altitude: a perpendicular segment that joins the planes of the bases. Height: the length of the altitude. Vocabulary

The lateral area L of a prism is the sum of the areas of the lateral faces. Vocabulary

The length of each side of the base of a regular octagonal prism is 6 inches, and the height is 11 inches. Find the lateral area. Example 1

The length of each side of the base of a regular hexagonal prism is 5 cm, and the height is 12 cm. Find the lateral area. Example 1

Find the surface area of the prism. Example 2

Find the surface area of the prism. Example 2

Find the surface area of the prism. Example 2

p.849 #1 – 3, 9, 11, 12, 54 – 56 Homework