The sum of edges is 24 lateral surface area is=
I am assuming that by "sum of edges" you mean the sum of the lengths of the edges of a cube (again, an assumption from the fact that you used the word "edge").
Since a cube has a total of 12 edges, and edges of a cube have the same length, each edge would have a length of `24/12 = 2 units.`
Lateral surface area refers to the sum of the areas of all the faces of the solid excluding its base - that is, only the areas of its sides. In the case of a cube, there are four sides, each of which is a square with length same as the edge. Hence, the formula for the lateral surface area of a cube is:`4s^2`
Therefore, the desired cube has a lateral surface area of 16 square units.
(Note that this is different from surface area. The surface area of this same cube is 24 square units - after adding the areas of the two other faces.)