A cube box is 20x20x20 cm what is the surface area of the largest size sphere than can fit in this box leave your answer in terms of pi
The largest size sphere that can fit inside the cube box would have a diameter equal to the length of the side of the cube, which is 20 cm.
The formula for the surface area of a sphere is given by:
A = 4πr²
where A is the surface area and r is the radius of the sphere.
Since the diameter is equal to 20 cm, the radius is half of the diameter, which is 10 cm.
Substituting the radius into the formula:
A = 4π(10 cm)²
A = 4π(100 cm²)
A = 400π cm²
Therefore, the surface area of the largest size sphere that can fit in the cube box is 400π cm².