Question

the volume of this triangular prism is 1,615 cubic centimeters. what is the value of q? 19 cm 17 cm q q = centimeters

Explanation:

Step1: Recall the volume formula for a triangular prism

The volume formula for a triangular prism is \(V = (\frac{1}{2}\times base\times height)\times length\). Here, the base of the triangular face is \(17\) cm, the height of the triangular face is \(19\) cm, and the length of the prism is \(q\) cm. So \(V=\frac{1}{2}\times17\times19\times q\).

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

We know \(V = 1615\) cubic centimeters. Substitute into the formula:

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Answer:

\(10\)