find the volume of this triangular prism. be sure to include the correct unit in your answer.
find the volume of this triangular prism. be sure to include the correct unit in your answer.
Answer
Explanation:
Step1: Calculate base - area of triangle
The base of the triangular face is $b = 8$ ft and the height of the triangular face is $h = 6$ ft. The area of a triangle $A=\frac{1}{2}bh$. So, $A=\frac{1}{2}\times8\times6= 24$ ft².
Step2: Calculate volume of prism
The length of the prism $l = 9$ ft. The volume of a prism $V=A\times l$. Substitute $A = 24$ ft² and $l = 9$ ft into the formula, we get $V=24\times9 = 216$ ft³.
Answer:
$216$ ft³