Lateral surface area is different then regular surface area. It is the area of the faces that are not the bases. In this case there is 4 square faces that are not the bases. So...
144/4=36, then take sqrt to get 6 edge length.
Answer:
The length of one edge of the cube is 6 centimeters.
Step-by-step explanation:
The lateral surface area of a cube is
[tex]A=4a^2[/tex]
where a is the length of one edge of a cube.
It is given that the lateral surface area of the square is 144 square centimeters.
Substitute A=144 in the above formula.
[tex]144=4a^2[/tex]
Divide both sides by 4.
[tex]36=a^2[/tex]
Taking square root both the sides.
[tex]\sqrt{36}=\sqrt{a^2}[/tex]
[tex]6=a[/tex]
Therefore the length of one edge of the cube is 6 centimeters.
