Question

A rectangular box is 12 in. x14 in. x 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.

Answer 1

The largest sphere has diameter equal to the box's smallest side, 12 in, so radius r = 6 in. Surface area = 4πr^2 = 4π(6^2) = 144π in^2.