A rectangular prism with a length of l= 6 meters, a width of w= 4 meters, and a height of h= 4 meters.
A triangular prism with a base that is a right triangle with legs that are 2 and 6 meters, and a height of 4 meters.
First, lets find the volume of the rectangular prism. Its volume is equal to the product of its dimensions. Therefore, \textcolor{darkorange}{V_\text{rectangular}}={\color{#0000FF}{\ell}} {\color{#009600}{w}}{\color{#FF0000}{h}}=({\color{#0000FF}{6}})({\color{#009600}{4}})({\color{#FF0000}{4}})=\textcolor{darkorange}{96} cubic meters. Next, we will find the volume of the triangular prism.
The base of this prism is a right triangle with legs of 2 and 6 meters. Therefore, the area of the base is B= 12( 2)( 6)=6 square meters. Now, let's use the formula for the volume of a prism.
Therefore, the volume of the triangular prism is \textcolor{darkviolet}{V_\text{triangular}}=\textcolor{darkviolet}{24} cubic meters. Finally, let's find the volume of the composite solid.
