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Geometry-Part 8
The total area of all of the surfaces of a 3-D figure is called the Surface Area.
The Surface Area of a 3-D figure can be found by drawing a 2-Dimensional Net, which shows
all faces and bases of the figure. Area formulas can be used to find the area of each section
of the Net.
Nets can also help us visualize the 3-D figure in order to develop formulas to find the surface
area of the figure. The general form for surface area of a prism is SA=LA+2B, where the Lateral
Area (LA) is the area of all of the faces of the object, and B represents the base area.
Rectangular Prism
Draw a net for the rectangular prism. Then, use the net to determine the formula for the
Surface Area of rectangular prisms.
Example
Find the surface area of the rectangular prism using a net and the surface area formula.
Cube
Draw a net for the cube. Then, use the net to determine the formula for the Surface Area of
cubes.
Example
Triangular Prism
Draw a net for the rectangular prism. Then, use the net to determine the formula for the
Surface Area of triangular prisms
Example
Find the surface area of the triangular prism using a net and the surface area formula.
Cylinders
Draw a net for the cylinder. Then, use the net to determine the formula for the Surface Area
of cylinders.
Example
Find the surface area of the cylinder using a net and the surface area formula.