Answer:
The volume of the prism is [tex]16.65\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Remember that
In a right triangle 45°-45°-90°
The measures of the legs are equal
The area B is equal to
[tex]B=\frac{1}{2}(3)(3)=4.5\ in^{2}[/tex]
[tex]H=3.7\ in[/tex]
substitute in the formula
[tex]V=(4.5)(3.7)=16.65\ in^{3}[/tex]
