To calculate the volume of a square pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
For a square pyramid with a base side length \( s \) and height \( h \):
- The base area is \( s^2 \).
- Given the dimensions of the ornament, \( s = 2.75 \) inches and height \( h = 2.75 \) inches.
Now, calculate the base area:
\[ \text{Base Area} = (2.75)^2 = 7.5625 \text{ in}^2 \]
Now, substitute the base area and height into the volume formula:
\[ V = \frac{1}{3} \times 7.5625 \text{ in}^2 \times 2.75 \text{ in} \]
Calculating this gives:
\[ V = \frac{1}{3} \times 7.5625 \times 2.75 = \frac{1}{3} \times 20.828125 \text{ in}^3 \approx 6.94270833 \text{ in}^3 \]
Rounding to the nearest hundredth:
\[ V \approx 6.94 \text{ in}^3 \]
Among the provided options, the closest answer is:
6.93 in.³ (rounded).
Thus, the best answer is 6.93 in. cubed.