To find the largest size sphere that could fit in the box, we need to find the diameter of the sphere.
The diameter of the sphere should be equal to the smallest side length of the box, which is 12 inches.
Using the diameter, we can calculate the radius of the sphere as half of the diameter, which is 6 inches.
The surface area of a sphere is given by the formula: SA = 4πr^2.
Substituting the value of 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.
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 in2
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