Answer:
The length of each edge of the cube is 21 cm.
Explanation:
The surface area of a cube is given by the formula:
SA = 6s^2
where SA is the surface area and s is the length of each edge.
We can rearrange this formula to solve for s:
s = sqrt(SA/6)
Substituting the given value of SA = 2646 cm^2, we get:
s = sqrt(2646/6)
s = sqrt(441)
s = 21
Therefore, the length of each edge of the cube is 21 cm.