what is the surface area of a polyhedron show work
To find the surface area of a polyhedron, you can follow these steps:
1. Identify the faces of the polyhedron.
2. Calculate the area of each face.
3. Add up the areas of all the faces to find the total surface area.
If you know the formula for calculating the area of each face, you can plug in the values and calculate the surface area.
For example, let's say we have a cube with side length 4 units.
Since a cube has 6 equal faces, we can calculate the area of one face and then multiply it by 6 to get the total surface area.
The area of one face of a cube is side length squared:
Area of one face = 4 * 4 = 16 square units
Since the cube has 6 faces, the total surface area is:
Total surface area = 6 * 16 = 96 square units
So, the surface area of the cube is 96 square units.