We are tasked with finding the length of diagonal $\overline{AC}$ in a rectangular solid (box) with given dimensions.

Steps to solve:

1. Identify the dimensions: From the image, the dimensions are:

   • Length: $5 \, \text{m}$
   • Height: $2 \, \text{m}$
   • Depth (from $A$ to $C$): This can be inferred using the Pythagorean theorem in the base.

2. Base diagonal (AC): Since $\overline{AC}$ is a diagonal across the rectangular base of the solid, the length of $AC$ can be found using the 3D diagonal formula: $\text{Diagonal } = \sqrt{(\text{length})^2 + (\text{width})^2 + (\text{height})^2}$

Here, the width is the unknown, but the height is known (2