A rectangular box is 12in .*14 in.*18 i . What is the surface area of the largest size sphere that could fit in this box? Leave your answer in terms of pl. (1 point)
To find the largest size sphere that could fit in the box, we need to find the minimum of the three dimensions (12, 14, and 18) and use that as the diameter of the sphere.
The minimum dimension is 12 inches, so the diameter of the sphere is 12 inches.
The formula to find the surface area of a sphere is 4πr², where r is the radius.
The radius of the sphere is half the diameter, so it is 12/2 = 6 inches.
Plugging the radius into the formula, we get:
Surface Area = 4π(6)²
Surface Area = 4π(36)
Surface Area = 144π
The surface area of the largest size sphere that could fit in the box is 144π square inches.