\begin{tabular}{l} A right rectangular prism is 3 in by 4.25 in by 18.25 in. What is the total surface area of the prism? \\ \( 145.0625 \mathrm{in}^{2} \) \\ \( 180.625 \mathrm{in}^{2} \) \\ \( 264.625 \mathrm{in}^{2} \) \\ \( 290.125 \mathrm{in}^{2} \) \\ \hline\end{tabular}

To find the total surface area of a right rectangular prism, use the formula: \[ \text{Total Surface Area} = 2(lw + lh + wh) \] Where: - \( l = 3 \) inches - \( w = 4.25 \) inches - \( h = 18.25 \) inches **Step-by-Step Calculation:** 1. **Calculate each pair of products:** \[ lw = 3 \times 4.25 = 12.75 \, \text{in}² \] \[ lh = 3 \times 18.25 = 54.75 \, \text{in}² \] \[ wh = 4.25 \times 18.25 = 77.5625 \, \text{in}² \] 2. **Sum the products:** \[ lw + lh + wh = 12.75 + 54.75 + 77.5625 = 145.0625 \, \text{in}² \] 3. **Multiply by 2 to get the total surface area:** \[ 2 \times 145.0625 = 290.125 \, \text{in}² \] **Answer:** \(\boxed{290.125 \mathrm{in}^{2}}\)