Question

A Calculus instructor needs a model of a leaking tank for upcoming word problems. She
decides to build an open-top rectangular tank using instructions for a fish tank online
that is held together by duct tape. The length of the tank should be triple its width and
its volume should be 5184 cubic inches. If plexiglass costs $4.30 per square foot and a
roll of heavy-duty duct tape costs $5, estimate the dimensions of the tank to the nearest
hundredths of an inch to minimize the cost of the materials. What is the cost to build
this tank?

Answer 1