1. **State the problem:** Find the surface area of a rectangular prism with dimensions 4 cm, 5 cm, and 3 cm.
2. **Formula:** The surface area $SA$ of a rectangular prism with length $l$, width $w$, and height $h$ is given by:
$$SA = 2(lw + lh + wh)$$
3. **Substitute the values:**
$$SA = 2(4 \times 5 + 4 \times 3 + 5 \times 3)$$
4. **Calculate each product:**
$$SA = 2(20 + 12 + 15)$$
5. **Add the terms inside the parentheses:**
$$SA = 2(47)$$
6. **Multiply by 2:**
$$SA = 94$$
7. **Answer:** The surface area of the rectangular prism is $94$ square centimeters.
Surface Area Prism 4A67F6
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.