Question

what is the volume? cubic feet submit

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle is \(6\) ft and the height (assuming the vertical side of the triangle is same as the length of the prism's side which is \(12\) ft) is \(12\) ft. So, \(A = \frac{1}{2}\times6\times12\).

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Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \(V=A\times l\), where \(A\) is the area of the base and \(l\) is the length of the prism. The area of the triangular base \(A = 36\) square - feet and the length of the prism \(l = 12\) ft. So, \(V=36\times12\).

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Answer:

\(432\)