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

Answer 1

To find the surface area of the largest size sphere that could fit in this box, we need to find the diameter of the sphere.

The diameter of the sphere will be equal to the smallest side of the rectangular box, which is 12 inches in this case.

The surface area of a sphere is given by the formula: A = 4πr^2, where A is the surface area and r is the radius of the sphere.

Since the diameter is 12 inches, the radius will be half of the diameter, which is 6 inches.

Therefore, the surface area of the largest size sphere that could fit in this box is: A = 4π(6)^2 = 144π square inches.