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The surface area of a figure is the sum of the area of all surfaces of a figure. Surface Area is often abbreviated S.A. The surface area of a prism or cylinder is the lateral area plus the area of each base. Since the bases for a prism or cylinder are congruent, this is often expressed as twice the area of the base. The surface area of a pyramid or cone is the lateral area plus the area of the single base.
Case 1: Find the surface area and volume of a pentagonal prism with the given apothem length 2, side 3 and height 4. Find the area of the base. Area of the base(A) = Â½ * a * 5 * s = 0.5 * 2 * 5 * 3 = 15. Step 2: Find the perimeter of the base. Perimeter of the base(P) = 5s = 5 * 3 = 15. Step 3: Find the surface area of prism. Surface Area of Prism = 5as + Ph = (5 * 2 * 3) + (15 * 4) = 30 + 60 = 90. Step 4: Find the volume of prism. Volume of Prism = Ah = 15 * 4 = 60. The above example will clearly illustrates how to calculate the Volume, Surface Area, Perimeter of a Pentagonal Prism manually.