What is the volume of the triangular prism?
A) 57.75 m3
B) 115.5 m3
C) 231.0 m3
D) 462.0 m3

Answer:
B) [tex]115.5m^3[/tex]
Step-by-step explanation:
to find the volume we need to find first the area of the triangle, and then multiply by 11 which is the length of the prism:
the measurements are:
[tex]base=7m[/tex]
[tex]height=3m[/tex]
[tex]length=11m[/tex]
the area of the triangle in one side is:
[tex]triangle=\frac{(base)(height)}{2} \\triangle=\frac{(7m)(3m)}{2}\\ triangle=\frac{21m}{2}\\ triangle=10.5m^2[/tex]
and now to find the volume of the prism we multiply the area of the triangle by the length of the prism:
[tex]volume=(triangle)(height)\\volume=(10.5m^2)(11m)\\volume=115.5m^3[/tex]
which is option B)
Answer:
115.5 [tex]m^{3}[/tex]
Step-by-step explanation:
V = 1/2a·c·h
V = 1/2(3)(7)(11) = 115.5