501 Geometry Questions

(Jacob Rumans) #1

Surface Area of a Cube


Like the rectangular prism, a cube has six faces; each face is a congruent
square.


The surface area of a cube is the sum of its face areas, or SA= 6(length
×width). This formula simplifies into: SA= 6e^2 , where eis the measurement
of the edge of the cube, or length of one side.


Surface Area of Other Types of Prisms


What about calculating the surface area of three-dimensional prisms that
aren’t cubes or rectangular prisms? Whether you are dealing with a trian-
gular prism, a pentagonal prism or any other n-sided style of prism, you can
always calculate the surface area in parts and then add them together.
Remember, every prism is made up of two congruent faces connected by
parallelograms. Since you know how to calculate the areas of those shapes,
you have the skills to find the surface area of a number of complex prisms.
Here are examples of a triangular prism and of a pentagonal prism.


disassemble

3 feet

3 feet

3 ft.

3 ft. 3 ft.

501 Geometry Questions
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