If each side of a cube is reduced by 50%, the surface area will reduced by.75%50%25%100%

The surface area of a cube is given by the formula 6a^2, where a is the length of a side.

Step 1: Let's assume the original side length of the cube is a. So, the original surface area of the cube is 6a^2.

Step 2: If each side of the cube is reduced by 50%, the new side length is 0.5a.

Step 3: The new surface area of the cube is 6*(0.5a)^2 = 6*0.25a^2 = 1.5a^2.

Step 4: To find the percentage reduction in the surface area, we subtract the new surface area from the original surface area, divide by the original surface area, and then multiply by 100%.

So, the percentage reduction is ((6a^2 - 1.5a^2) / 6a^2) * 100% = (4.5a^2 / 6a^2) * 100% = 75%.

Therefore, if each side of a cube is reduced by 50%, the surface area will be reduced by 75%.