question_answer 14)

A cube is a three-dimensional figure as shown in figure. It has six faces and all of them are identical squares. The length of an edge of the cube is given by \[l\]. Find the formula for the total length of the edges of a cube.                                                

Answer:

                We know that, a cube is a three-dimensional figure which has six faces and 12 edges. Given, that all edges are equal in length and length of edge\[=l\] Now, total length of the edges of a cube = Sum of all 12 edges of a cube \[=l+l+l+l+l+l+l+l+l+l+l+l\] \[=12l\] Hence, the required formula for the total length of the edges of a cube is \[12l,\]where \[l=\] length of an edge.