The largest size sphere that could fit in the rectangular box would have a diameter equal to the shortest side of the box. In this case, the diameter would be 12 inches.
The surface area of a sphere can be calculated using the formula:
Surface Area = 4πr^2
where r is the radius of the sphere. Since we know the diameter is 12 inches, we can find the radius by dividing the diameter by 2:
r = 12 / 2 = 6 inches
Plugging the radius value into the formula, we get:
Surface Area = 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.(1 point)
Blank in^2
1 answer
2 answers