Recall that the area of a prism is given by:
[tex]\text{ base area }\times\text{ height}[/tex]
The base area of the triangular prism is given by:
[tex]\frac{1}{2}\times6\times7=21cm^2[/tex]
Since the height of the triangular prism is 6 cm, it follows that:
[tex]21\times6=126\text{ cm}^3[/tex]
Therefore, the Volume of the Triangular Prism is 126 cm³
The base area of the rectangular prism is given by:
[tex]7\times8=56\text{ cm}^2[/tex]
Therefore, the volume of the rectangular prism is given by:
[tex]56\times6=336[/tex]
Therefore, the Volume of the Rectangular Prism is 336 cm³
Therefore, the Volume of the Composite is given by:
[tex]126+336=462[/tex]
Hence, the volume of the composite figure is 462 cm³
