Answer:
Area of one face of the cube is [tex]100 inches^2[/tex]
Step-by-step explanation:
A cube is a three dimensional figure that has all of its sides equal.
A cube has six square faces:
Surface area of the cube = [tex]6a^2[/tex]
where 'a' is the side length of the cube:
Area of one face of a cube= [tex]a^2[/tex]
For surface area of the whole cube: 500 square inches
[tex]6a^2=600[/tex]
Dividing by '6' both sides;
[tex]a^2=600/6\\\\[/tex]
[tex]a^2=100inches^2[/tex]
Area of one face of the cube is [tex]100 inches^2[/tex]
