To find the largest size sphere that could fit in the box, we need to consider the diameter of the sphere. This diameter should be equal to the smallest dimension of the box.
The smallest dimension of the box is the height, which is 12 in. So, the diameter of the sphere would be 12 in.
The surface area of a sphere is given by the formula:
Surface Area = 4πr^2
Since the diameter of the sphere is 12 in, the radius (r) would be half of that:
r = 12/2 = 6 in
Now, we can plug the radius into the formula to find the surface area:
Surface Area = 4π(6)^2
Surface Area = 4π(36)
Surface Area = 144π
So, the surface area of the largest size sphere that could fit in the box would be 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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