Question: Convert 6 ft^2 to cm^2. Round to the nearest cm^2.
1. **Problem:** Convert $6\text{ ft}^2$ to $\text{cm}^2$ and round to the nearest $\text{cm}^2$.
2. **Formula and conversion factors:**
- $1 \text{ ft} = 30.48 \text{ cm}$
- To convert square feet to square centimeters, square the linear conversion factor:
$$1 \text{ ft}^2 = (30.48 \text{ cm})^2 = 30.48^2 \text{ cm}^2$$
3. **Calculate:**
$$1 \text{ ft}^2 = 30.48^2 = 929.0304 \text{ cm}^2$$
4. **Convert $6 \text{ ft}^2$:**
$$6 \text{ ft}^2 = 6 \times 929.0304 \text{ cm}^2 = 5574.1824 \text{ cm}^2$$
5. **Round to nearest $\text{cm}^2$:**
$$\boxed{5574 \text{ cm}^2}$$
**Answer:** $5574 \text{ cm}^2$