Answer:
5.6 m
Step-by-step explanation:
The volume of a cube can be found using the following formula.
[tex]v=s^3[/tex]
We know the volume of the cube is 176 m³, so we can substitute that value in for v, or volume.
[tex]176 m^3=s^3[/tex]
We want to find the side length. Therefore, we must get the variable, s, by itself on one side of the equation.
s is being cubed. The opposite of cubed is the cube root. So, take the cube root of both sides of the equation.
[tex]\sqrt[3]{176m^2} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{176m^2} =s[/tex]
[tex]5.60407866 m =s[/tex]
The question tells us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 6 in the tenth place.
[tex]5.6m \approx s[/tex]
The side length of the cube is about 5.6 meters.
