Question

find the volume of the triangular prism. use the formula: v = bh b = area of the triangle base 6 in v = ? in³ 12 in 4 in use a

Explanation:

Step1: Calculate the area of the triangular base ($B$)

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 $6$ in. So, $B = \frac{1}{2}\times4\times6$.

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Step2: Find the volume ($V$) using the formula $V = Bh$

The height of the prism ($h$) is $12$ in. Substitute $B = 12$ and $h=12$ into the formula $V=Bh$.

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Answer:

$144$