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.