Question

find the volume of the cube. 1\frac{2}{3} m 1\frac{2}{3} m 1\frac{2}{3} m write your answer as a whole number, a proper fraction, or a mixed number. cubic meters

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$

Step2: Use volume formula for cube

The volume $V$ of a cube with side length $s$ is $V = s^3$. Here $s=\frac{5}{3}$, so $V=(\frac{5}{3})^3$.

Step3: Calculate the cube of the fraction

$(\frac{5}{3})^3=\frac{5^3}{3^3}=\frac{125}{27}$.

Step4: Convert to mixed - number

$\frac{125}{27}=4\frac{17}{27}$

Answer:

$4\frac{17}{27}$