Question: User: 2 cm
4 cm
3 cm
The graph shape is a rectangular prism made of unit cubes, with dimensions $2$ cm by $4$ cm by $3$ cm, positioned in the center.
b What is the surface area of
this prism?
1. **State the problem:** We need to find the surface area of a rectangular prism with dimensions $2$ cm, $4$ cm, and $3$ cm.
2. **Formula for surface area of a rectangular prism:**
$$\text{Surface Area} = 2(lw + lh + wh)$$
where $l$, $w$, and $h$ are the length, width, and height respectively.
3. **Identify dimensions:**
- Length $l = 2$ cm
- Width $w = 4$ cm
- Height $h = 3$ cm
4. **Calculate each product:**
$$lw = 2 \times 4 = 8$$
$$lh = 2 \times 3 = 6$$
$$wh = 4 \times 3 = 12$$
5. **Sum the products:**
$$8 + 6 + 12 = 26$$
6. **Multiply by 2:**
$$2 \times 26 = 52$$
7. **Final answer:** The surface area of the prism is $52$ square centimeters.