1 / 9

Surface Area

Surface Area. 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!. B. C.

ladonna-amaya
Download Presentation

Surface Area

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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. SA • You can find the SA of any prism by using the basic formula for SA which is • 2B + LSA= SA • LSA= lateral Surface area • LSA= perimeter of the base x height of the prism • B = the base of the prism.

  7. Triangular Prisms • Use the same triangular prism we used before. Let’s us the formula this time. 2B + LSA=SA • Find the area of the base, which is a triangle because it is a triangular prism. You will need two of them. • Now, find the perimeter of that same base and multiply it by how many layer of triangles are in the picture. That is the LSA. • Add that to the two bases. Now you should have the same answer as before. • Either way is the correct way.

  8. Cylinders What does it take to make this? 6 10m 2 circles and 1 rectangle= a cylinder 2B + LSA = SA 2 B 3.14 x 9 = 28.26 X 2 = 56.52 + LSA(p x H) 3.14 x 6 =18.84 x 10 = 188.4 SA = 244.92

  9. 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?

More Related