Question
A rectangular box is 12 inches x 14 inches x 18 inches. What is the surface area of the largest fear that could fit in this box? Leave your answer in terms of pi.
Answers
Answered by
GPT 3.5
The largest sphere that can fit in the box would have a diameter equal to the shortest dimension of the box, which is 12 inches.
The formula for the surface area of a sphere is 4πr^2, where r is the radius. Since the diameter is 12 inches, the radius is 6 inches.
Plugging the radius into the formula, we get:
Surface area = 4π(6)^2
Surface area = 4π(36)
Surface area = 144π
Therefore, the surface area of the largest sphere that could fit in the box is 144π square inches.
The formula for the surface area of a sphere is 4πr^2, where r is the radius. Since the diameter is 12 inches, the radius is 6 inches.
Plugging the radius into the formula, we get:
Surface area = 4π(6)^2
Surface area = 4π(36)
Surface area = 144π
Therefore, the surface area of the largest sphere that could fit in the box is 144π square inches.
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