What Is Surface Area?

Student Summary

  • The surface area of a figure (in square units) is the number of unit squares it takes to cover the entire surface without gaps or overlaps.
  • If a three-dimensional figure has flat sides, the sides are called faces.
  • The surface area is the total of the areas of the faces.

For example, a rectangular prism has six faces. The surface area of the prism is the total of the areas of the six rectangular faces.

rectangular prism, length = 3 units, width = 2 units, height = 4 units.

So the surface area of a rectangular prism that has edge-lengths of 2 cm, 3 cm, and 4 cm has a surface area of

(23)+(23)+(24)+(24)+(34)+(34)\displaystyle (2\boldcdot 3)+ (2\boldcdot 3) + (2\boldcdot 4) + (2\boldcdot 4) + (3\boldcdot 4) + (3\boldcdot 4)

or 52 square centimeters.

Visual / Anchor Chart

Standards

Addressing
6.G.4

6.G.A.4

6.G.4

6.G.A.4

Building Toward
6.G.4

6.G.A.4