Question

find the volume of the rectangular prism. write your answer in simplest form.

Explanation:

Step1: Recall the volume formula

The volume formula for a rectangular prism is \(V = l\times w\times h\), where \(l\) is the length, \(w\) is the width, and \(h\) is the height.

Step2: Substitute the values

Given \(l=\frac{7}{2}\text{ m}\), \(w = 3\text{ m}\), \(h=\frac{2}{3}\text{ m}\). Then \(V=\frac{7}{2}\times3\times\frac{2}{3}\).

Step3: Simplify the expression

First, \(3\times\frac{2}{3}= 2\). Then \(V=\frac{7}{2}\times2\). Since \(\frac{7}{2}\times2=7\).

Answer:

\(7\text{ m}^3\)