To find the volume of a right rectangular pyramid, you can use the formula:
\[ V = \frac{1}{3} \cdot B \cdot h \]
where \( V \) is the volume, \( B \) is the area of the base, and \( h \) is the height (altitude) of the pyramid.
For a right rectangular pyramid, the base area \( B \) can be calculated as:
\[ B = \text{length} \times \text{width} \]
In this case:
- Length = 26 m
- Width = 31 m
- Height (altitude) = 35 m
First, we calculate the area of the base:
\[ B = 26,m \times 31,m = 806,m^2 \]
Next, we substitute \( B \) and \( h \) back into the volume formula:
\[ V = \frac{1}{3} \cdot 806,m^2 \cdot 35,m \]
Calculating this step by step:
\[ V = \frac{1}{3} \cdot 806 \cdot 35 \]
Calculating \( 806 \cdot 35 \):
\[ 806 \cdot 35 = 28110 \]
Now, divide by 3:
\[ V = \frac{28110}{3} = 9370 \]
Thus, the volume of the pyramid is:
\[ V \approx 9370,m^3 \]
Looking at the provided options, the closest volume is:
9,403.33 m³
Therefore, the correct response is 9,403.33 m cubed.