How do you find the length of each side of a cube by just knowing it's area

Just in case, the area is 36 square centimetres

A cube has six square faces, so if the total area is 36 cm^2, then each side is 6 cm^2.

Now the area of a square is s^2, where s is the length of a side, so if s^2 = 6 cm^2, then s sqrt(6) cm = about 2.45 cm.

the area of a cube is the total surface area of the six sides of the cube.each side of the cube is a square of say of side length a.the area of the cube is 6*(a^2).where a^2 is the area of a square.
if we know the area as say A,
A=6*(a^2)
a=sqrt(A/6)
side can be found.
eg:if A=36
a=sqrt(36/6)
giving a=square root of 6 centimetres ,approximately 2.449 centimetres

A cube has 6 surface all are equal in area to each other. Let each one be a square cm.

6a = 36 ;

a = 6 cm.

Area of each surface = (length of any one side)^2 = 6 ;

Length of one side = sqrt(6).

the area of a cube is its side to the power of three

so the side is the area to the root of 3

Each side of a cube is a square; so its length and width are equal.
So if its area is 36 sq cm, then its length is 6 cm.
Volume of cube is 6^3=216 cubic centimeters.

All the sides of a cube are equal in size.

surface area SA= 6s^2, shere s is side of cube
36 =6s^2
6 =s^2
s = sqrt 6


Volume = (sqrt6)^3