To find the height of the pan, we can use the formula for the volume of a rectangular prism, which is given by:
\[ V = l \times w \times h \]
where \( V \) is the volume, \( l \) is the length, \( w \) is the width, and \( h \) is the height.
Given:
- Volume \( V = 252 \) cubic inches
- Length \( l = 12 \) inches
- Width \( w = 10.5 \) inches (assuming the width is supposed to be 10.5 instead of 1012)
We need to find the height \( h \). Rearranging the volume formula to solve for \( h \):
\[ h = \frac{V}{l \times w} \]
Substituting the values we have:
\[ h = \frac{252}{12 \times 10.5} \]
Calculating \( 12 \times 10.5 \):
\[ 12 \times 10.5 = 126 \]
Now substituting back into the equation for \( h \):
\[ h = \frac{252}{126} \]
Calculating \( \frac{252}{126} \):
\[ h = 2 \]
Thus, the height of the pan is:
\[ \boxed{2} \text{ in.} \]