Find the surface area of a cube with a side of length 3 cm

Solution:

Given that s = 3

Surface area of a cube = 6s^{2} = 6(3)^{2} = 54 cm^{2}

The following videos show how to find the surface area of a cube.

Find the length of a cube given the surface area

This video shows how to find the length of a cube given the surface area.

Use the Net of a Cube to find its Surface Area

Another way to look at the surface area of a cube is to consider a net of the cube. The net is a 2-dimensional figure that can be folded to form a 3-dimensional object.

Imagine making cuts along some edges of a cube and opening
it up to form a plane figure. The plane figure is called the net
of the cube.

The following net can be folded along the dotted lines to form a cube.

We can then calculate the area of each square in the net and then multiply the area by 6 to get the surface area of the cube.

There are altogether 11 possible nets for a cube as shown in the following figures. Notice that the surface area of each of the net is the same.

This video shows how to use nets and 3-dimensional figures to find surface area of cubes and prisms.

Surface Area of a Cube in terms of its Volume

Finding surface area of a cube in terms of volume
S = 6V^{2/3}

You can use the Mathway widget below to practice Basic Math (Finding Surface Area of a Cube) or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

(Clicking "View Steps" on the answer screen will take you to the Mathway site, where you can register for a free ten-day trial of the software.)

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