To find the volume of a right rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \]
Where:
- Base Area for a rectangle = Length × Width
- Height is the altitude of the pyramid
Given:
- Length = 6.75 inches
- Width = 10.25 inches
- Height = 22.3 inches
First, calculate the base area:
\[ \text{Base Area} = 6.75 , \text{inches} \times 10.25 , \text{inches} = 69.1875 , \text{square inches} \]
Now, plug the base area and height into the volume formula:
\[ V = \frac{1}{3} \times 69.1875 , \text{inches}^2 \times 22.3 , \text{inches} \]
Calculating the volume:
\[ V = \frac{1}{3} \times 69.1875 \times 22.3 \approx \frac{1}{3} \times 1545.1875 \approx 515.0625 \]
Thus, the volume of the pyramid is approximately:
\[ \boxed{515.06} , \text{cubic inches} \]