Answer:
The volume of the triangular prism in the diagram is:
The surface area of the triangular prism in the diagram is:
Step-by-step explanation:
First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:
- Area of a triangle = (base * height) / 2
We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:
- Area of a triangle = ( 5 in * 4.3 in) / 2
- Area of a triangle = ( 21.5 [tex]in^{2}[/tex]) / 2
- Area of a triangle = 10.75 [tex]in^{2}[/tex]
Now, we can calculate the volume of the triangular prism with the next formula:
- Volume of a triangular prism = surface area * depth
In the diagram, we can see the depth is 14 inches, then:
- Volume of a triangular prism = 10.75 [tex]in^{2}[/tex] * 14 in
- Volume of a triangular prism = 105.5 [tex]in^{3}[/tex]
How you can see with the calculations perfomed, the surface area is 10.75 [tex]in^{2}[/tex] and the volume of that triangular prism is 105.5 [tex]in^{3}[/tex].
