Decompose the box net into simple polygons to find how much cardboard in square inches is needed to make the cube. Assume that all angles that look like right angles are right angles. All polygons that look congruent are congruent. What is the area of the shape in square inches?(1 point)

Question

Given:
3,3,3,3,3,3,3,3,6,6

Answer 1

To find the area of the cardboard needed to make a cube using the given dimensions, we first need to understand what the dimensions represent.

The numbers provided seem to represent the dimensions of a cube where:

• The edge length of the cube is \(3\) inches (as we see there are several instances of \(3\)).
• The numbers \(6\) could refer to the areas of the six faces of a cube or simply help in visualizing the layout of the "box net."

Step-by-step breakdown:

1. Understanding the Cube Dimensions:

   • A cube has six faces and each face is a square.
   • Since the edge of the cube is \(3\) inches, each square face has an area of: \[ \text{Area of one face} = \text{side}^2 = 3^2 = 9 \text{ square inches} \]

2. Calculating Total Area:

   • Since a cube has 6 identical square faces, the total surface area \(A\) of the cube is given by: \[ A = 6 \times \text{Area of one face} = 6 \times 9 = 54 \text{ square inches} \]

3. Conclusion:

   • The total area of cardboard needed to make the cube is: \[ \boxed{54} \text{ square inches} \]