Question

which diagram is a net for the cube? what is the surface area of the cube? square centimeters submit work it out not feeling ready yet? these can help:

Explanation:

Step1: Recall cube - net property

A cube net has 6 square faces. The first diagram is a valid net for a cube as it can be folded to form a cube with 6 square faces of side - length 30 cm. The second diagram has 7 squares and cannot form a cube.

Step2: Recall surface - area formula for a cube

The surface - area formula of a cube is \(S = 6s^{2}\), where \(s\) is the side - length of the cube. Here, \(s = 30\) cm.

Step3: Calculate the surface area

Substitute \(s = 30\) into the formula \(S=6s^{2}\), so \(S = 6\times30^{2}=6\times900 = 5400\) square centimeters.

Answer:

The first diagram is a net for the cube. The surface area of the cube is 5400 square centimeters.