Answer:

Step-by-step explanation:
We are given the following in the question:
A storage shed is to be built in the shape of a (closed) box with a square base.
Volume = 150 cubic feet
Let s be the edge of square base and h be the height.
Volume of cuboid =

where l is the length, b is the base and h is the height.
Volume of box =

Area of base =

Cost of concrete for the base = $4
Cost of base($) = 
Area of roof =

Cost of material for the roof = $2
Cost of roof ($) = 
Area of 4 walls =

Cost of material for the side = $2.50
Cost of material of side($) =

Total cost
= Cost of base + Cost of 4 sides + Cost of roof

is the required cost function.