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Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

Find the total area (surface area) of a regular tetrahedron if each edge has a length of 6 in.

To determine

To find:

The total surface area of a regular tetrahedron.

Explanation

Approach:

1) A polygon is a two dimensional shape form with more than two straight lines.

2) A polyhedron is a three-dimensional solid shape.

3) Each flat surface of a polyhedron is a polygon and is called a face.

4) The line segment where two faces of a polyhedron meet is called an edge.

5) The point where three or more edges of a polyhedron meet is called a vertex.

6) A regular polyhedron is a convex polyhedron whose faces are congruent regular polygons.

Calculation:

A regular tetrahedron is a regular polyhedron with four faces. Each face is a congruent equilateral triangle.

Surface area of each face of tetrahedron = Area of equilateral triangle.

 =34side2=34·6·6 in

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