The diameter of the largest sphere that can fit inside the cube box is equal to the length of the side of the cube. Since the side length is 20 cm, the diameter of the sphere is also 20 cm.
The surface area of a sphere can be calculated using the formula A = 4πr^2, where r is the radius of the sphere.
The radius of the sphere is half of the diameter, so it is 20/2 = 10 cm.
Plugging this value into the formula gives:
A = 4π(10^2)
= 4π(100)
= 400π
Therefore, the surface area of the largest size sphere that can fit in the cube box is 400π square cm.
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)
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