Given:
The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.
Height of the prism is 14 feet.
To find:
The volume of the triangular prism.
Solution:
The area of a triangle is:
[tex]Area=\dfrac{1}{2}\times b\times h[/tex]
Where, b is base and h is height of the triangle.
The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:
[tex]B=\dfrac{1}{2}\times 16\times 4[/tex]
[tex]B=32[/tex]
Now, the volume of a triangular prism is:
[tex]V=Bh[/tex]
Where, B is base area and h is the height.
Putting [tex]B=32,h=14[/tex] in the above formula, we get
[tex]V=32\times 14[/tex]
[tex]V=448[/tex]
Therefore, the volume of the triangular prism is 448 cubic feet.
