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 term of pi.
The diameter of the sphere that can fit in the cube is equal to the length of the side of the cube. Therefore, the diameter is 20 cm.
The radius of the sphere is half the diameter, so the radius is 20 cm / 2 = 10 cm.
The surface area of a sphere is given by the formula: A = 4πr^2, where A is the surface area and r is the radius.
Plugging in the values, we have:
A = 4π(10 cm)^2
A = 4π(100 cm^2)
A = 400π cm^2
Therefore, the surface area of the largest size sphere that can fit in the cube is 400π cm^2.