Question

1. reason what is the length of the longest rod that can fit inside this cube? round to the nearest tenth, and show your work.

Explanation:

Step1: Use space diagonal formula

The space diagonal \(d\) of a cube with side length \(s\) is given by \(d = s\sqrt{3}\). Here, \(s = 2\ \text{m}\).
<Expression>
\(d = 2\sqrt{3}\)
</Expression>

Step2: Calculate decimal value

Compute the numerical value of \(2\sqrt{3}\) and round to the nearest tenth.
<Expression>
\(2\sqrt{3} \approx 2\times1.732 = 3.464 \approx 3.5\)
</Expression>

Answer:

\(3.5\ \text{m}\)