<u>Given</u>:
Given that the figure is a triangular prism.
The length of the prism is 4 m.
The base of the triangle is 2.5 m.
The height of the triangle is 2.25 m.
We need to determine the volume of the triangular prism.
<u>Volume of the triangular prism:</u>
The volume of the triangular prism can be determined using the formula,
![V=\frac{1}{2}bhl](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7Dbhl)
where b is the base of the triangle,
h is the height of the triangle and
l is the length of the prism.
Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;
![V=\frac{1}{2}(2.5)(2.25)(4)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%282.5%29%282.25%29%284%29)
![V=\frac{1}{2}(22.5)](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B2%7D%2822.5%29)
![V=11.25 \ m^3](https://tex.z-dn.net/?f=V%3D11.25%20%5C%20m%5E3)
Thus, the volume of the triangular prism is 11.25 m³