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21 November, 03:20

Find the total surface area of the triangular pyramid. Each of the faces (sides) has an area of 50.5 square inches.

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  1. 21 November, 03:22
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    By definition we have:

    A triangular pyramid (also called tetrahedron) is a polyhedron whose surface is formed by a base that is a triangle and triangular lateral faces that converge in a vertex that is called apex (or apex of the pyramid).

    It will be composed, therefore, by 4 faces, the triangular base and three lateral triangles that converge at the vertex.

    Thus, the surface area is:

    As = 4 * (50.5) = 202 in ^ 2

    Answer:

    The total surface area of the triangular pyramid is:

    202 in ^ 2
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