Question

which diagram is a net for the cube? what is the surface area of the cube? 40 ft. 40 ft. 40 ft.

Explanation:

Step1: Recall cube - net properties

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: Analyze the nets

Both of the given diagrams are valid cube nets as they consist of 6 square faces of side - length 40 ft each and can be folded to form a cube.

Step3: Recall the 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 \(s = 40\) ft, we substitute \(s\) into the formula: \(SA=6\times(40)^{2}\).

Step5: Calculate the surface area

First, \((40)^{2}=40\times40 = 1600\). Then, \(6\times1600 = 9600\) square feet.

Answer:

Both diagrams are nets for the cube. The surface area of the cube is 9600 square feet.