Question

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

Explanation:

Step1: Recall the volume formula for a rectangular prism

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 given values into the formula

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

Step3: Simplify the expression

First, \(3\times\frac{2}{3}=2\) (by canceling out the 3s). Then \(V=\frac{7}{2}\times2\). The 2s cancel out, and we get \(V = 7\text{ m}^3\).

Answer:

\(7\)