## Surface Area of a Rectangular Prism

### Surface Area: Learn

Surface Area is the combined area of all two-dimensional surfaces of a shape.
Just like ordinary area, the units are the squares of the units of length
(that is, if a shape's sides are measured in meters,
then the shape's area is measured in *square meters*).

A rectangular prism has six faces (flat surfaces), but they are not all identical. The opposite faces are identical, which means we have 3 sets of 2 faces to calculate, and then we add them all together.

For example, here is a rectangular prism with side lengths of 3m, 4m, and 5m.

Each face of the prism has an area that is some combination of 3*4, 4*5, or 3*5. To account for all six faces, we need two copies of each combination, all added together:

3*4 | *2 | = | 24m^{2} |

4*5 | *2 | = | 40m^{2} |

3*5 | *2 | = | 30m^{2} |

Total: | 94m^{2} |
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### Surface Area: Practice

00:00

What is the surface area of a prism whose side lengths are

cm,
cm, and
cm?

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