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

1 answer

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.