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12.2-12.3: Surface Area Name: _______________________ Lateral Area & Surface Area of Prisms Lateral Area & Surface Area Cylinders The lateral area of a right prism is the product of the perimeter of the base and the height. The lateral area of a right cylinder is the product of the circumference of the base and the height of the cylinder. L.A. = Ph The surface area of a right prism is the sum of the lateral area and the areas of the two bases. LA = 2rh The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases SA = 2r2 + 2rh S.A. = 2B + Ph L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________ 4ft 2 ft L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________ L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________ Lateral Area & Surface Area of Pyramids Lateral Area & Surface Area of Cones The lateral area of a regular pyramid if half the product of the perimeter of the base and slant height The lateral area of a right cone is half the product of the circumference of the base and the slant height. LA P 2 LA = rℓ The surface area of a regular pyramid if the sum of the lateral area and the area of the base. SA B P 2 The surface area of a right cone is the sum of the lateral area and the area of the base. SA = r2 + rℓ L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________ L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________ L.A.= ______________________________ L.A.= ______________________________ S.A.= ______________________________ S.A.= ______________________________