the formulas for lateral area dont include the figures bases. surface area does.
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total surface area is all of the area. ex. for a square pyramid it would be the area of the square on the bottom and the four triangle sides lateral surface area is all the surface area EXCEPT the base. ex. for a square pyramid it would be the area of the four sides of the pyramid. the bottom square is NOT included. for a triangular prism it would be the area of the three rectangle sides, NOT the two triangular sides
The lateral area of a prism is the sum of the areas of all the lateral faces. A lateral face is not a base. The surface area is the total area of all faces.Lateral Area: The lateral area of a right prism with base perimeter P and height h is L=Ph.Surface Area: The surface area of a right prism with lateral area L and base area is B is S = L + 2B, or S = Ph + 2B.
The lateral area of a right cylinder is curved surface that connects the two bases. The surface area is the total area of the curved surface and the bases.Lateral Area: The lateral area of a right cylinder with radius r and height h is L = 2pirh.Surface Area: The surface area of a right cylinder with lateral area L and base area B is S = L + 2B, or S = 2pirh + 2pir^2.
It is incorrect to say that sphere has lateral area. First sphere do not have sides like other geometric figure. In fact a line or plane can intersect the surface of a sphere in just one point. Sphere has no lateral side. It is enough to say surface area of sphere than lateral surface area of the sphere.
Lateral area = surface area of 4 sides of the cube = 4s2 = 4 x 52 = 100