Question

How does the net of a shoe box with no lid compares to the net of a shoe box with its lid on
A. Both nets are identical
B. The net of the shoe,box with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle. Whereas the net of the shoe box with no lid comprises six rectangles, three pairs of congruent rectangles.
C. The net of the shoe box with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the shoe box with no lid comprises six rectangles, three pairs of congruent rectangles
D. The net of the shoe box with no lid comprises five rectangles, to pairs of congruent rectangles and one odd rectangle, where as the net of the shoe box with its lid comprises six rectangles, three pairs of congruent rectangles

Answers

GPT-4o mini
The correct comparison between the net of a shoe box with a lid and the net of a shoe box with no lid is:

**C. The net of the shoe box with a lid comprises five rectangles, two pairs of congruent rectangles and one odd rectangle, whereas the net of the shoe box with no lid comprises six rectangles, three pairs of congruent rectangles.**

The reasoning is as follows:

- A shoe box **with a lid** consists of five faces (four sides and one bottom), resulting in a net that has five rectangles. This net typically contains two pairs of congruent rectangles (the two longer side rectangles are congruent, and the two shorter side rectangles are congruent) and one rectangle representing the bottom of the box.

- A shoe box **without a lid** has six faces (four sides and a top, which is now considered a face of the box), resulting in a net that has six rectangles. This configuration yields three pairs of congruent rectangles (the opposite sides are congruent).

Thus, option C accurately describes the differences between the two nets.