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Exploring Surface Area Concepts

Learn about surface area calculations and apply them to various geometric shapes, including rectangular prisms, cubes, and triangular prisms. Discover how surface area is calculated and its real-world applications.

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Exploring Surface Area Concepts

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  1. Surface Area

  2. Surface Area • What does it mean to you? • Does it have anything to do with what is in the inside of the prism.? • Surface area is found by finding the area of all the sides and then adding those answers up. • How will the answer be labeled? • Units2 because it is area!

  3. B C 5 in A 6 4 Rectangular Prism How many faces are on here? 6 Find the area of each of the faces. Do any of the faces have the same area? A = 5 x 4 = 20 x 2 =40 If so, which ones? B = 6 x 5 = 30 x 2 = 60 C = 4 x 6 = 24 x 2 = 48 Opposite faces are the same. 148 in2 Find the SA

  4. Cube Are all the faces the same? YES A How many faces are there? 4m 6 Find the Surface area of one of the faces. 4 x 4 = 16 Take that times the number of faces. X 6 96 m2 SA for a cube.

  5. Triangular Prism How many faces are there? 4 5 5 How many of each shape does it take to make this prism? 10 m 3 2 triangles and 3 rectangles = SA of a triangular prism Find the surface area. Start by finding the area of the triangle. x 2= 12 4 x 3/2 = 6 How many triangles were there? 5 x 10 = 50 = front 4 x 10 = 40 = back 3 x 10 = 30 = bottom 2 Find the area of the 3 rectangles. SA = 132 m2 What is the final SA?

  6. SURFACE AREA • Why should you learn about surface area? • Is it something that you will ever use in everyday life? • If so, who do you know that uses it? • Have you ever had to use it outside of math?

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