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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To find the surface area of the largest size sphere that can fit in the cube box, we need to find the diameter of the sphere.
The diameter of the sphere is equal to the length of a side of the cube box.
In this case, the diameter of the sphere would be 20 cm.
The surface area of a sphere is given by the formula: A = 4πr², where r is the radius of the sphere.
Since the diameter is 20 cm, the radius would be half of the diameter, which is 10 cm.
Now, we can plug in the value of the radius into the formula to find the surface area of the largest size sphere.
A = 4π(10 cm)²
A = 400π cm²
So, the surface area of the largest size sphere that can fit in the cube box is 400π cm².