Final answer:
To find the length of one side of the cube, you can use the formula for the surface area of a cube. By solving the equation, you find that the length of one side is approximately 24 mm.
Step-by-step explanation:
To find the length of one side of the cube, we need to find the side length. The surface area of a cube is given by the formula: SA = 6s^2, where SA is the surface area and s is the side length. We are given the surface area of the cube as 3465 square mm. So, we can set up the equation:
3465 = 6s^2
Dividing both sides by 6, we get:
577.5 = s^2
Taking the square root of both sides, we get:
s ≈ 24 mm
Therefore, the length of one side of the cube is approximately 24 mm, so the correct answer is A. 24 mm.