Select the correct answerA cube has a total surface area of 150 cm². Calculate the length of a diagonal of the cube.Options6.53 cm52 cm7.52 cm53 cm

To solve this problem, we need to follow these steps:

1. First, we need to find the side length of the cube. We know that a cube has 6 equal sides and the total surface area is given as 150 cm². So, we divide the total surface area by 6 to find the area of one side.

   150 cm² / 6 = 25 cm²

2. The area of one side of the cube is equal to the square of the side length. So, to find the side length, we take the square root of the area of one side.

   √25 cm² = 5 cm

3. The diagonal of a cube is given by the formula √3 * side. So, we multiply the side length by √3 to find the length of the diagonal.

   √3 * 5 cm = 8.66 cm

None of the options given match this result. There might be a mistake in the options or in the problem statement.