Surface Area of a Cube

Finding the Surface Area of a cube from the Net.

  • Take a few minutes to interact with the rectangular prism shown here below. ​
  • After doing so, create one that has a length = 6 units, width = 6 units, and height = 6 units. ​
  • Move the CREATE NET slider to create the net.
  • Use the nets to find the surface area of the cube.

Answer the following questions:

Move the slider through a = 0.5, a = 1, a = 2, a = 3. Observe the net of the cube as you move through the different values.

Complete the table below for the side length and Surface Area of the cube. if your answer is not a whole number, write it down as a decimal.

(A). A cube has edge length 5 inches. Draw a net for this cube, and label its sides with measurements.

(1). What is the shape of each face?

(2). What is the area of each face?

(3). What is the surface area of this cube?

(4). What is the volume of this cube?

(B). A second cube has edge length 17 units. Draw a net for this cube, and label its sides with measurements.

(1). Explain why the area of each face of this cube is 17² square units.

(2). Write an expression for the surface area, in square units.

(3). Write an expression for the volume, in cubic units.

Here is a net for a rectangular prism that was not drawn accurately.

Explain what is wrong with the net.

The prism below is made up of 27 identical cubes. You can drag the white points to move any cube away from the large main cube. Dragging a white point will move it left or right. Click on any white point and drag it to move up or down. Click on the point again to return it to the block.

What is the surface area the figure after removing 2 cubes?

State whether each figure is a polyhedron. Explain how you know.