The difference between the total surface area and the lateral surface area of a cube is 4050 units$$^2$$​. Find the length of each side of the cube.

Correct option is D

Given:

Difference between the total surface area and lateral surface area of cube = 4050 units$$^2$$​​

Formula Used:

Total surface area of cube =$$6a^2$$​​

Lateral surface area of cube = $$4a^2$$​​

Solution:

Difference between total surface area and lateral surface of cube = $$6a^2 - 4a^2 = 2a^2$$​​

​$$2a^2 = 4050$$​​

​$$a^2 = 2025$$​​

​$$a= \sqrt{2025}$$ = 45 units