Question

find the volume of the triangular prism. use the formula: v = bh b = area of the triangle base 3 in v = ? in³ 9 in 4 in use a (calculator icon)

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \( B=\frac{1}{2}\times base\times height \). Here, the base of the triangle is \( 4\) in and the height is \( 3\) in. So, \( B = \frac{1}{2}\times4\times3\).

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Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \( V = Bh\), where \( B\) is the area of the base and \( h\) is the height (length) of the prism. Here, \( B = 6\) in² and \( h=9\) in. So, \( V=6\times9\).

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Answer:

\(54\)