Answer:
This is a perfect cube
The side length is [tex]9[/tex] centimeters
Taking the cube root of the volume will determine the side length
Step-by-step explanation:
we know that
The volume of a cube is equal to
[tex]V=s^{3}[/tex]
where
s is the length side of the cube
In this problem we have
[tex]V=729\ cm^{3}[/tex]
Solve for s-------> that means isolate the variable s
Find the length side of the cube s
[tex]s=\sqrt[3]{V}[/tex]
substitute the value of V
[tex]s=\sqrt[3]{729}=9\ cm[/tex] --------> a perfect cube
therefore
Statements
This is a perfect cube--------> Is true
The side length is [tex]9[/tex] centimeters -------> Is true
Taking the cube root of the volume will determine the side length ------> Is true
The side length of the cube is 9cm³ showing that the cube is a perfect cube
The formula for calculating the volume of a cube is expressed as:
V = s³
where:
s is the side length of the cube
Given the following
V = 729cm³
Substitute the given parameters into the formula
729 = s³
s³ = 729
s = 9cm
Hence the side length of the cube is 9cm³ showing that the cube is a perfect cube
Learn more on volume of a cube here: https://brainly.com/question/1972490
