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 diameter of the largest sphere that could fit in the box is equal to the smallest dimension of the box, which is 12 inches. Therefore, the radius of the sphere is 12/2 = 6 inches.
The surface area of a sphere is given by the formula:
Surface area = 4πr^2
Plugging in the radius, we get:
Surface area = 4π(6^2)
= 4π(36)
= 144π
So, the surface area of the largest size sphere that could fit in the box is 144π square inches.