A rectangular box is 12 in. x 14 in. x 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)
in
The diameter of the sphere is equal to the smallest side length of the box. Therefore, the diameter is 12 in.
To find the surface area of the sphere, we need to find the radius. The radius is half of the diameter, so the radius is 12/2 = 6 in.
The surface area of a sphere is given by the formula SA = 4πr^2.
Plugging in the radius, we get SA = 4π(6^2) = 4π(36) = 144π.
Therefore, the surface area of the largest size sphere that could fit in the box is 144π square inches.