Answer:
[tex]V=336\ in^3[/tex]
Step-by-step explanation:
Triangular Prism
Given a triangular prism of base area A and height H, its volume is obtained with the formula:
V = AH
The area of the base is calculated as follows:
[tex]A = \frac{WL}{2}[/tex]
Where W is the width and L is the length. Both dimensions must be perpendicular.
The triangle of the base has a hypotenuse equal to 10 in and the width is 6 in, the length is calculated by:
[tex]L=\sqrt{10^2-6^2}[/tex]
[tex]L=\sqrt{100-36}=\sqrt{64}[/tex]
L = 8 in
The area is:
[tex]A = \frac{6*8}{2}[/tex]
[tex]A = 24\ in^2[/tex]
Finally, the volume is:
[tex]V = 24\ in^2*14\ in[/tex]
[tex]\boxed{V=336\ in^3}[/tex]
