Surface Area of Right Prisms

Student Summary

To find the surface area of a three-dimensional figure whose faces are made up of polygons, we can find the area of each face, and add them up!

Sometimes there are ways to simplify our work. For example, all of the faces of a cube with side length ss are the same. We can find the area of one face, and multiply by 6. Since the area of one face of a cube is s2s^2, the surface area of a cube is 6s26s^2.

We can use this technique to make it faster to find the surface area of any figure that has faces that are the same.

For prisms, there is another way. We can treat the prism as having three parts: two identical bases, and one long rectangle that has been taped along the edges of the bases. The rectangle has the same height as the prism, and its length is the perimeter of the base. To find the surface area, add the area of this rectangle to the areas of the two bases.

Visual / Anchor Chart

Standards

Building On
3.MD.5

3.MD.8

3.MD.C.5

3.MD.D.8

6.G.4

6.G.A.4

Addressing
7.G.6

7.G.B.6

7.G.6

7.G.B.6

Building Toward
7.G.6

7.G.B.6