A cube box is 20 cm x 20 cm x 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 sphere that can fit inside the cube is equal to the edge length of the cube, which is 20 cm.
The radius of the sphere is half of the diameter, so it is 20 cm / 2 = 10 cm.
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius.
Using this formula, the surface area of the sphere is 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 cube is 400π cm^2.