A cube box is 20 cm × 20 cm × 20 cm . What is the surface area of the largest size sphere that can fit in this box? Leave your answer in terms of pi.
The diameter of the largest sphere that can fit in the cube box is equal to the length of its side, which is 20 cm.
The formula for the surface area of a sphere is A = 4πr^2, where r is the radius of the sphere. The radius of the sphere is half of its diameter, so it is 20 cm / 2 = 10 cm.
Plugging this value into the formula, we get A = 4π(10 cm)^2 = 4π * 100 cm^2 = 400π cm^2.
Therefore, the surface area of the largest size sphere that can fit in the box is 400π cm^2.