   Chapter 9.4, Problem 17E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Find the total area (surface area) of a regular hexahedron if each edge has a length of 4.2 cm.

To determine

To find:

The total surface area of a regular hexahedron.

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 hexahedron (or cube) is a regular polyhedron with six faces. Each face is a congruent square.

Surface area of each face of hexahedron = Area of square.

=side·side=4.2cm·4.2cm=17

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