Question

A cube box is 20 cm×20 cm× 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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The diameter of the sphere that can fit inside the cube is equal to the side length of the cube, which 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 radius is half of the diameter, the radius of the sphere is 20 cm/2 = 10 cm.

Plugging this value into the formula, the surface area of the sphere is A = 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.