Find the Surface Area of a Cube from the Net.
In the following activity, you are going to find the surface area of a cube from the net structure. Follow the instructions below.
Find a Relation Between Side length and Surface Area of a cube.
The surface area of a cube is related to the side lengths. Find out how they are related in this activity. The original cube has side lengths 1 unit, follow the instructions below and complete the table that follows.
Did you expect the surface area of the box to be halved when the value of a is halved? Why or why not?
Draw the Net of a Cube When a Side Length is Given.
In this activity, you are going to draw the net of a cube when the side is given. Remember that all the side lengths of a cube are equal.
(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?
(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.
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