Answer:
Volume = 2640 in.^3
Explanation:
The formula for the volume of a triangular prism is given by:
V = 1/2bhl, where
- V is the volume in cubic units,
- b is the base of the prism (i.e, the base of one of the two triangles),
- h is the height of the prism (i.e., the height of one of the two triangles),
- and l is the length of the prism (i.e., a side connecting the two triangles.
Since the base of the triangular prism is 30 in., the height is 8 in., and the length is 22 in., we can plug in 30 for b, 8 for h, and 22 for l in the triangular prism volume formula to find V, the volume of the triangular prism in in.^3.
V = 1/2(30)(8)(22)
V = 15 * 176
V =2640
Thus, the volume of the triangular prism is 2640 in.^3.