Question

what is the volume? 18.2 mm 20 mm 14.8 mm cubic millimeters submit

Explanation:

Step1: Recall the volume formula for a triangular prism

The volume formula for a triangular prism is \(V = \text{Base Area}\times\text{Height}\). The base is a triangle, and the area of a triangle is \(A=\frac{1}{2}\times\text{base}\times\text{height}\). Here, for the triangular base, \(b = 20\space mm\) and \(h_{triangle}=18.2\space mm\), and the height of the prism \(h_{prism}=14.8\space mm\).
First, calculate the area of the triangular base: \(A=\frac{1}{2}\times20\times18.2\).

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Step2: Calculate the volume of the triangular prism

Using \(V = A\times h_{prism}\), substitute \(A = 182\space mm^{2}\) and \(h_{prism}=14.8\space mm\)

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Answer:

\(2693.6\)