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10.1 Surface Areas of Prisms and Cylinders 1. The amount of material used to cover a container is described by the SURFACE AREA (SA). 2. The amount of fluid that a container will hold is described by its VOLUME. The total area of the lateral faces of a prism or cylinder is described by its LATERAL AREA (LA). This is calculated by finding the SUM of the AREA of the NUMBER of LATERAL faces. LA = PERIMETER x HEIGHT Perimeter (circumference) of the base Height between 2 bases 5. The surface area of a figure is calculated by adding the LATERAL AREA and twice the area of a BASE. SA = L.A. + 2B Lateral Area of the prism or Cylinder 2 x Base area (Since there's 2 bases) Find the Lateral Area of the figure below: LA = PERIMETER x HEIGHT 8mm 4mm 3mm 8. Find the A: Find the Lateral Area (LA). 3cm 11cm 8. Find the B: Find the area of the Base (B) 3cm 11cm 8. Find the C: Find the Surface area (SA) of the cylinder. 3cm 11cm 9. Find the Lateral Area (LA) of the figure below. A: Find the lateral area (LA). B: Find the area of the Base (B) in the figure. C. Find the surface area (SA). 11. A: Find the lateral area (LA). 11. B: Find the area of the Base (B) in the figure. C: Find the surface area (SA). 12. A right hexagonal prism has a base area of 84mm2, a base perimeter of 36mm, and a height of 32mm. A: Find the lateral area (LA). B: Find the surface area (SA).