Question

lesson 11 practice problems

1. this prism has a right triangle for a base. what is the volume of the prism?

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Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = 4\) and the height \(h=5\).
\(A=\frac{1}{2}\times4\times5\)
\(A = 10\)

Step2: Find the volume of the prism

The formula for the volume of a prism is \(V=A\times l\), where \(A\) is the area of the base and \(l\) is the length of the prism. The length of the prism \(l = 8\) (the side \(CF\) or \(BE\) etc., which is the distance between the two triangular bases).
\(V=10\times8\)
\(V = 80\)

Answer:

\(80\)