Calculate the sum of the areas of all the faces of a cube if the sum of the length of all its edges is 144 cm.

It is known that a cube has twelve edges and six faces.

Let’s find the value of the length of one face of the cube, for this it is necessary to divide the value of the sum of all its faces by the number of faces:

144 cm: 12 = 12 cm – this is the length of the edge of this cube;

Let’s find the area of ​​one face of the cube, for this we need to square the value of the edge length:

122 = 144 cm2 – the area of ​​one face of this cube;

Let’s find the area of ​​all the faces of the cube, for this it is necessary to multiply the area of ​​one face by the number of faces of the given cube:

144 cm2 * 6 = 864 cm2 – the area of ​​all faces of the cube.

Answer: 864 cm2 is the area of ​​all the faces of the cube.