1. **Problem Statement:** We are given a right prism with a surface area of 132 cm\textsuperscript{2} and need to find the value of $x$. 2. **Understanding Surface Area of a Right Prism:** The surface area $S$ of a right prism is given by the formula: $$S = 2B + Ph$$ where $B$ is the area of the base, $P$ is the perimeter of the base, and $h$ is the height of the prism. 3. **Identify Variables:** To find $x$, we need the expressions for $B$, $P$, and $h$ in terms of $x$. Since the problem does not specify the base shape or dimensions, please provide the base shape and any dimensions or expressions involving $x$. 4. **Next Steps:** Once the base shape and dimensions are known, we can: - Calculate $B$ and $P$ in terms of $x$. - Substitute into the surface area formula. - Set the equation equal to 132 and solve for $x$. Please provide the base shape and any relevant dimensions or expressions involving $x$ to proceed.