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 (1 point)
cm
The diameter of the sphere that can fit in the cube box is equal to the length of one of its sides, which is 20 cm.
The radius of the sphere is therefore half of the diameter, which is 10 cm.
The surface area of a sphere is given by the formula: A = 4πr^2, where r is the radius.
Plugging in the radius value, we get: A = 4π(10^2) = 4π(100) = 400π cm^2.
Therefore, the surface area of the largest size sphere that can fit in the cube box is 400π cm^2.