what is the surface of a polyhedron show work
The surface area of a polyhedron can be found by adding up the areas of all its faces.
First, calculate the area of each face of the polyhedron using the appropriate formula for that shape (e.g. for a square face, the area is side * side; for a triangle face, the area is 1/2 * base * height).
Next, add up the areas of all the faces to get the total surface area of the polyhedron.
For example, consider a cube with side length "s". A cube has 6 square faces, each with area "s" * "s" = s^2. Therefore, the total surface area of the cube is 6 * s^2.
In conclusion, the surface area of a polyhedron is found by adding up the areas of all its faces using the appropriate formulas for each shape.