Surface area of a cube
Definition:
The number of square units that will exactly cover the surface of a cube
Try this
Drag the slider to resize the cube. The surface area is calculated as you drag.
Also rotate the cube by dragging it.
How to find the surface area of a cube
Recall that a cube has all edges the same length (See Cube definition).
This means that each of the cube's six faces is a
square.
The total surface area is therefore six times the area of one face.
Or as a formula:
Where s is the length of any edge of the cube.
If you know the surface area
If you already know the area, you can find the edge length by rearranging the formula above:
where a is the surface area.
Units
Remember that the length of an edge and the surface area will be in similar units.
So if the edge length is in miles, then the surface area will be in square miles, and so on.
Calculator
Use the calculator on the right to calculate the properties of a cube.
Enter any one value and the others will be calculated. For example, enter the side length and the volume will be calculated.
Similarly, if you enter the surface area, the side length needed to get that area will be calculated.
Things to try
 Check the "explode" box. Rotate the cube by dragging it to see more clearly that the cube has six identical square faces
 In the figure above, drag the slider to resize the cube. Note how the surface area is recalculated.
 Click on "hide details". Resize the cube with the slider. Calculate the surface area, then click "show details" to check your answer.
While you are here..
... I have a small favor to ask. Over the years we have used advertising to support the site so it can remain free for everyone.
However, advertising revenue is falling and I have always hated the ads. So, would you go to Patreon and become a patron of the site?
When we reach the goal I will remove all advertising from the site.
It only takes a minute and any amount would be greatly appreciated.
Thank you for considering it! – John Page
Become a patron of the site at patreon.com/mathopenref
Related topics
(C) 2011 Copyright Math Open Reference. All rights reserved
