To find the surface area of the largest size sphere that could fit in this box, we need to find the length of the sphere's diameter.
The diameter of the sphere should be equal to the shortest side of the rectangular box, which is 12 inches.
The formula for the surface area of a sphere is: SA = 4πr^2, where r is the radius.
Since the diameter is 12 inches, the radius would be half of that, which is 6 inches.
Plugging in the values into the formula, we get:
SA = 4π(6^2) = 4π(36) = 144π
Therefore, the surface area of the largest size sphere that could fit in this 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.(1 point)
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