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)
To find the area of the cube, we need to identify the different polygons that make up the box net and calculate their areas.
1. There are 6 squares that make up the faces of the cube. Each square has sides of equal length.
2. Each square has an area of s^2, where s is the length of one side.
3. Since all the squares have the same length of side, the area of each square is the same.
4. We can find the area of one square and multiply by 6 to get the total area of the cube.
5. Let's assume the length of one side of the square is 3 inches.
6. The area of one square is 3^2 = 9 square inches.
7. The total area of all 6 squares is 9 * 6 = 54 square inches.
Therefore, the area of the cube in square inches is 54 square inches.