A cube box is 20cm x 20cm x 20cm. What is the surface area of the largest size sphere that can fit in this box? Leave your answer in terms of pi
The largest size sphere that can fit inside a cube will have a diameter equal to the length of one of the sides of the cube. In this case, the diameter is 20 cm.
The surface area of a sphere is given by the formula A = 4πr^2, where r is the radius of the sphere.
Since the diameter is 20 cm, the radius is half of that, which is 10 cm.
Plugging this into the formula, we get:
A = 4π(10^2)
A = 4π(100)
A = 400π
Therefore, the surface area of the largest size sphere that can fit inside the cube is 400π square cm.