To find the edge of a cube, we need to use the given information about its surface area. Let's break down the steps to determine the edge length of the cube.



The surface area of a cube is given by the formula:

S = 6a²

where "S" represents the surface area and "a" represents the length of each edge of the cube.



We are given that the surface area of the cube is 26.46 m². We can substitute this value into the formula:

26.46 = 6a²



To find the length of each edge, we need to isolate "a" in the equation. Let's rearrange the equation:

a² = 26.46 / 6

Simplifying further:

a² = 4.41

Now, we can take the square root of both sides to find the value of "a":

a = √4.41

Calculating the square root:

a ≈ 2.1

Therefore, the length of each edge of the cube is approximately 2.1 meters.



To summarize, we found the edge length of a cube by using the formula for surface area and substituting the given value. By solving the equation, we determined that the edge length is approximately 2.1 meters.