Question
A rectangle or box is 12 inches times 14 inches times 18 inches. What is the surface area of the largest size sphere that could fit in this box
Answers
GPT 3.5
The largest size sphere that could fit in this box is a sphere with a diameter equal to the smallest dimension of the box. In this case, the smallest dimension is 12 inches.
The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius.
To find the surface area of the sphere, we first need to find the radius. The diameter is equal to 12 inches, so the radius is half of that, which is 6 inches.
Plug the radius into the surface area formula:
A = 4π * (6 inches)^2
A = 4π * 36 square inches
A = 144π square inches
Thus, the surface area of the largest size sphere that could fit in this box is 144π square inches.
The formula for the surface area of a sphere is A = 4πr^2, where A is the surface area and r is the radius.
To find the surface area of the sphere, we first need to find the radius. The diameter is equal to 12 inches, so the radius is half of that, which is 6 inches.
Plug the radius into the surface area formula:
A = 4π * (6 inches)^2
A = 4π * 36 square inches
A = 144π square inches
Thus, the surface area of the largest size sphere that could fit in this box is 144π square inches.