Answer:
13 ft.
Step-by-step explanation:
Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.
It can be seen seen from the attached figure as well.
Each face in a cube is a square. And each side in the cube is equal.
So, Lateral surface area is nothing but 4 [tex]\times[/tex] area of a square.
And we know that area of a square = [tex]side^{2}[/tex].
Hence, Lateral surface area = [tex]4 \times side^{2}[/tex]
As per question:
[tex]4 \times side^{2}[/tex] = 676
[tex]side^2 = 169 \\\Rightarrow side = 13[/tex]
Hence, side length of cube = 13 feet.
