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Surface Area. Slideshow 49, Mathematics Mr Richard Sasaki Room 307. Objectives. Review how to find the area of various polygons Learn how to calculate the surface area of cuboids, triangular prisms and square-based pyramids Learn how to calculate the surface area of a cylinder. Answers.
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Surface Area Slideshow 49, Mathematics Mr Richard Sasaki Room 307
Objectives • Review how to find the area of various polygons • Learn how to calculate the surface area of cuboids, triangular prisms and square-based pyramids • Learn how to calculate the surface area of a cylinder
Surface Area What is surface area? The total area of faces & surfaces on a 3D shape. Calculating surface area for cuboids and triangular prisms is easy as long as we know the dimensions of each face. 3 cm 2 cm 3 cm 3 cm 2 cm 2 cm 5 cm 5 cm
Surface Area - Cuboid 3 cm 15 cm2 6 cm2 2 cm 10 cm2 6 cm2 3 cm 3 cm 15 cm2 2 cm 10 cm2 2 cm 5 cm 5 cm All we do is add the total area of each face. We just simply add the numbers together. 10 + 15 + 10 + 15 + 6 + 6 = = =
Surface Area – Triangular Prism Visualising a net is always good! 3 cm 4 cm 5 cm 10 cm 3 cm 3 cm 4 cm 4 cm 5 cm 10 cm Surface Area: = =
Square-Based Pyramids Let’s have a look at the square based pyramid. This should be easy to calculate the surface area with too!
Square-Based Pyramids Example Surface area =
Cylinders Let’s calculate the surface area of a cylinder with its radius and length. Example We know the cylinder is made of two and, if flattened a . circles rectangle
Cylinders S.A = On your test you won’t receive any formulae for surface area as the calculations are somewhat obvious but you are welcome to remember some if you need to!