Respuesta :
The volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
It is given that the prism is 5 feet tall whose base is a right triangle with leg lengths of 3/2 feet and 9 feet.
It is required to find the volume of the prism.
What is volume?
It is defined as a three-dimensional space enclosed by an object or thing.
We have 5 feet tall prism ie.
height of the prism h = 5 feet
and base b = 3/2 feet
and length = 9 feet
We know the volume of the right triangle prism is given by:
[tex]\rm V = \frac{b\times h\times l }{2}[/tex]
Putting the values of b, h, and l, we get:
[tex]\rm V =\frac{\frac{3}{2} \times 5\times 9}{2}[/tex][tex]\rm V = \frac{3 \times 5\times 9}{2\times2} \Rightarrow \frac{135}{4}[/tex]
V = 33.75 cubic feets
Thus, the volume of a right triangle prism is 33.75 cubic feet which is 5 feet tall.
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