A rectangular box is 12 in. × 14 in. × 18 in. What is the surface area of the largest size sphere that could fit in this box? Leave your answer in terms of pi.(1 point)
The largest size sphere that could fit in this box would be the sphere with diameter equal to the shortest edge of the box. So the diameter of the sphere would be 12 inches.
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 the diameter, the radius of this sphere would be 12/2 = 6 inches.
Plugging this into the formula, we get A = 4π(6^2) = 4π(36) = 144π.
Therefore, the surface area of the largest size sphere that could fit in this box is 144π square inches.