Prismatic Package

Calculus Level 3

It is given a prismatic package which sides measure \(x,y,z\) such that its volume is \(108\). Its surface (without the cover) is given by the equation: \( S = xy + 2yz + 2xz \)

Setting \(x,y,z\) as variables, what is the value of \(x+y+z\) if we want to minimize the surface area of the package?

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 5 million people

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