Question

the volume of this triangular prism is 540 cubic inches. what is the value of v? v = inches submit

Explanation:

Step1: Recall the volume formula for a triangular prism

The volume formula for a triangular prism is \( V=Bh \), where \( B \) is the area of the triangular base and \( h \) is the height of the prism. The area of a triangle is \( B = \frac{1}{2}\times base\times height \). Here, the base of the triangle is \( 8 \) inches, the height of the triangle is \( v \), and the height of the prism (length) is \( 9 \) inches. So \( V=\frac{1}{2}\times8\times v\times9 \).

Step2: Substitute the given volume and solve for \( v \)

Given \( V = 540 \) cubic inches. Substitute into the formula:

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Answer:

\( 15 \)