Question

find the volume of the rectangular prism.
\\(\frac{1}{3}\\) cm
\\(\frac{2}{5}\\) cm
\\(1\frac{1}{4}\\) cm
write your answer as a whole number, a proper fraction, or a mixed number.
cubic centimeters

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{1}{4}=\frac{4\times1 + 1}{4}=\frac{5}{4}$

Step2: Use volume formula for rectangular prism

The volume $V$ of a rectangular prism is $V = l\times w\times h$, where $l=\frac{5}{4}$ cm, $w=\frac{2}{5}$ cm, and $h=\frac{1}{3}$ cm. So $V=\frac{5}{4}\times\frac{2}{5}\times\frac{1}{3}$.

Step3: Multiply the fractions

$\frac{5}{4}\times\frac{2}{5}=\frac{5\times2}{4\times5}=\frac{10}{20}=\frac{1}{2}$, then $\frac{1}{2}\times\frac{1}{3}=\frac{1\times1}{2\times3}=\frac{1}{6}$

Answer:

$\frac{1}{6}$