A cylinder
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A cylinder has two parallel congruent faces and a curved surface.
There are many possible answers: a frustrum of a cone, a sphere or torus intersected by a pair of parallel planes, a circular prism (cylinder) are some.
the formulas for lateral area dont include the figures bases. surface area does.
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.
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.