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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The longest possible diameter of the sphere that can fit in the cube box would be equal to the length of the box, which is 20 cm.
The formula for the surface area of a sphere is given by A = 4πr^2, where r is the radius of the sphere.
Since the diameter of the sphere is equal to 20 cm, the radius would be half of that, which is 10 cm.
Plugging in the value of the radius into the formula, we get:
A = 4π(10)^2
= 4π(100)
= 400π cm^2
Therefore, the surface area of the largest size sphere that can fit in the box is 400π cm^2.