[tex]\begin{gathered} V=330cm^3 \\ \text{DBB = 11 cm} \\ A_{B\text{ }}=30cm^2 \end{gathered}[/tex]
Here, we want to calculate the volume of the triangular prism
Mathematically, to calculate this, we have to multiply the area of the base by the height of the prism
The base of the prism is the right triangle
The height is the DBB which we have as 11 cm
The area of the base is the area of the right triangle calculated as follows;
[tex]A_B\text{ = }\frac{1}{2}\times B\times H\text{ = }\frac{1}{2}\times12\times5=30cm^2[/tex]
So, we have the volume as;
[tex]30cm^2\text{ }\times11\text{ cm = 330 }cm^3[/tex]
