The volume of the triangular prism is 2,002 m³.
Step-by-step explanation:
Step 1:
The volume of a triangular prism can be determined by multiplying its area of the triangular base with the height of the prism.
The base triangle has a base length of 26m and a height of 7m.
The area of a triangle is given by; [tex]A = \frac{1}{2} (b)(h)= \frac{1}{2} (26)(7) = 91[/tex].
So the area of the triangle is 91 m².
Step 2:
The volume of the prism is determined by multiplying the area with the height.
The area is 91 m² and the height is 22m.
The volume = (area)(height) [tex]= (91)(22) = 2,002.[/tex]
The volume of the given prism is 2,002 m³.
