Answer:
4.1 centimeters
Step-by-step explanation:
The volume of a cube can be found using the following formula.
[tex]V=s^3[/tex]
We know that the volume of the cube is 69 cm^3, therefore we can substitute 69 cm^3 in for V (volume).
[tex]69 cm^3=s^3[/tex]
We want to find out what s (side length) is. Therefore, we must get s by itself.
s is being cubed. The inverse of a cube is the cube root. Take the cubed root of both sides.
[tex]\sqrt[3]{69 cm^3} =\sqrt[3]{s^3}[/tex]
[tex]\sqrt[3]{69 cm^3}=s[/tex]
[tex]4.10156593 cm=s[/tex]
The question tell us to round to the nearest tenth. The 0 in the hundredth place indicates we should leave the 1 in the tenth place.
[tex]4.1 cm=s[/tex]
The side length of the cube is 4.1 centimeters.
