Question

a cube is shown below. which diagram is a net for the cube? what is the surface area of the cube?

Explanation:

Step1: Recall cube - net property

A cube net should have 6 square faces that can be folded to form a cube. The second diagram has 6 squares of side - length 12 mm and is a valid net for a cube.

Step2: Recall surface - area formula

The surface - area formula for a cube is $S = 6a^{2}$, where $a$ is the side - length of the cube. Here, $a = 12$ mm.

Step3: Calculate surface area

$S=6\times(12)^{2}=6\times144 = 864$ $mm^{2}$

Answer:

1. The second diagram is a net for the cube.
2. The surface area of the cube is $864$ $mm^{2}$.