find the volume of the rectangular prism.\nwrite your answer as a whole number, a proper fraction, or a…

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

Here, (l=\frac{1}{4}), (w = \frac{2}{7}), (h=\frac{11}{12}). So (V=\frac{1}{4}\times\frac{2}{7}\times\frac{11}{12}).

Step3: Multiply the numerators and denominators

First, (\frac{1\times2\times11}{4\times7\times12}=\frac{22}{336}).

Step4: Simplify the fraction

Divide both the numerator and denominator by 2. (\frac{22\div2}{336\div2}=\frac{11}{168}).

Answer:

(\frac{11}{168})