The lengths of three unequal edges of a rectangular solid block are in a geometric progression. The volume of the block is \(216\text{ cm}^{3}\) and the total surface area is \(252\text{ cm}^{2}\). What is the length of the longest side?

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Your answer seems reasonable.
Find out if you're right!