Question

a triangular prism is shown below. the base is a right triangle.
6 in.
4 in.
10 in.
what is the volume of the triangular prism?
cubic inches

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 of the triangle \(b = 6\) in and the height \(h=4\) in.

$$A=\frac{1}{2}\times6\times4= 12\space in^{2}$$

Step2: Calculate the volume of the triangular 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 (or height) of the prism. Here, \(A = 12\space in^{2}\) and \(l = 10\) in.

$$V=12\times10=120\space in^{3}$$

Answer:

\(120\)