Question

the triangular prism below has a base area of 32.6 units² and a volume of 130.4 units³. find its height.

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for a prism is \(V = B\times h\), where \(V\) is the volume, \(B\) is the base area, and \(h\) is the height.

Step2: Solve for the height \(h\)

We know that \(V = 130.4\) and \(B=32.6\). Rearranging the formula \(V = B\times h\) to solve for \(h\) gives \(h=\frac{V}{B}\).
Substitute the values: \(h=\frac{130.4}{32.6}\)

$$h = 4$$

Answer:

\(4\)