Use the image to answer the question.



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)

1 answer

To find the area of the box net represented as a series of polygons, we can break down the box net into simpler shapes, typically rectangles and squares. Given that all angles that look like right angles are indeed right angles, we can assume the figures are perfect rectangles.

Assuming the dimensions of the cube are of length \( s \):

  1. A cube has 6 faces, each of which is a square. The area of one face of a cube is \( s^2 \).
  2. Therefore, the total surface area of the cube is \( 6s^2 \).

Thus, to calculate how much cardboard is needed to make the cube, we would need the side length \( s \).

If you have the specific dimensions given in the image of the box net, please specify those dimensions. For example, if the side length \( s \) is 2 inches, then the total area needed would be:

\[ Total\ Area = 6s^2 = 6(2^2) = 6 \times 4 = 24 \text{ square inches} \]

If you want a specific numerical answer or need further assistance, please provide the dimensions or more details from the image.