1. **State the problem:** Calculate the surface area of a rectangular prism with dimensions 4 cm (height), 3 cm (width), and 50 mm (length).
2. **Convert all dimensions to the same unit:** Since 50 mm = 5 cm, the dimensions are 4 cm, 3 cm, and 5 cm.
3. **Recall the surface area formula for a rectangular prism:**
$$SA = 2(lw + lh + wh)$$
where $l$, $w$, and $h$ are the length, width, and height respectively.
4. **Substitute the values:**
$$SA = 2(5 \times 3 + 5 \times 4 + 3 \times 4)$$
5. **Calculate each product:**
$$5 \times 3 = 15$$
$$5 \times 4 = 20$$
$$3 \times 4 = 12$$
6. **Sum the products:**
$$15 + 20 + 12 = 47$$
7. **Multiply by 2:**
$$SA = 2 \times 47 = 94$$
8. **Final answer:**
$$SA = 94\text{ cm}^2$$
The surface area of the rectangular prism is 94 cm².
Surface Area 410F7E
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