Question

which diagram is a net for the cube? what is the surface area of the cube? square millimeters

Explanation:

Step1: Recall cube - net property

A cube net is a 2 - D shape that can be folded to form a 3 - D cube. A standard cube net has 6 square faces arranged in a way that they can be folded to enclose a volume.

Step2: Identify the correct net

Both of the given diagrams are valid cube nets as they are composed of 6 squares which can be folded to form a cube.

Step3: Recall surface - area formula for a cube

The surface - area formula of a cube with side length $s$ is $SA = 6s^{2}$.

Step4: Substitute the side - length value

Given $s = 28$ mm, we substitute into the formula: $SA=6\times(28)^{2}$.

Step5: Calculate the surface area

First, $(28)^{2}=28\times28 = 784$. Then, $6\times784 = 4704$ square millimeters.

Answer:

The first and second diagrams are nets for the cube. The surface area of the cube is 4704 square millimeters.