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? • Units 2 because it is area!
Rectangular Prism B 5 in A How many faces are on here? 6 C 6 4 A = 5 x 4 = 20 x 2 =40 B = 6 x 5 = 30 x 2 = 60 C = 4 x 6 = 24 x 2 = 48 148 in 2 Find the area of each of the faces. Do any of the faces have the same area? If so, which ones? Opposite faces are the same. Find the SA
Cube A Are all the faces the same? 4 m How many faces are there? YES 6 Find the Surface area of one of the faces. 4 x 4 = 16 X 6 96 m 2 Take that times the number of faces. SA for a cube.
Triangular Prism How many faces are 4 there? 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 x 2= 12 4 x 3/2 = 6 finding the area of the triangle. How many triangles were there? 2 Find the area of the 3 rectangles. What is the final SA? 5 x 10 = 50 = front 4 x 10 = 40 = back 3 x 10 = 30 = bottom SA = 132 m 2
v. Why should you learn about surface area? v. Is it something that you will ever use in everyday life? v. If so, who do you know that uses it? v. Have you ever had to use it outside of math?