Step 1: Write out the formula for the volume V of a rectangular based pyramid with height h base length l and base width w:
![V=l\cdot w\cdot h](https://img.qammunity.org/2023/formulas/mathematics/college/3q2zwvs64f3ti00knxr5crf2fis1f7mjho.png)
Step 2: Write out the given values and substitue them into the formula to find the volume:
From the image, we can see that:
![l=12m,w=5m,h=9.5m](https://img.qammunity.org/2023/formulas/mathematics/college/fk2din7r34aqkc900b1m3s2smieffbctj3.png)
Therefore,
![V=(12)\cdot(5)\cdot(9.5)=570m^3](https://img.qammunity.org/2023/formulas/mathematics/college/p1b7c1kgaaf0sm4u7pszwug5r318ya5j40.png)
Hence the volume of the pyramid is 570m³