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Calculus/dimensions for the building that minimize the total cost

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Question
QUESTION: the volume of the dorm must be exactly 225,000 cubic feet, which is one
cubic foot for each sprout on the Chia plane. We’re in the planning stages
with the architects now, and we would obviously like to minimize the cost of
the building. Currently, the construction costs for the foundation are $30 per
square foot, the sides cost $20 per square foot to construct, and the roofing
costs $15 per square foot. Find the dimensions for the building that
minimize the total cost of the building.

While the cost of the flooring and siding has been fairly stable, a further
complicating factor is that the cost of the roofing has been fluctuating
dramatically. In addition to your recommendation for the price of $15 per
square foot, I also need your recommendation on the dimensions of the
dorm if the roofing costs $R per square foot.

plz dont tell me to see the archives because nothing helps

PLZ i really need the whole answer id appreciate it!! and i will help with
ANYTHING U ASK FOr

ANSWER: Hi Sofie,
Would love to help out but i dont quite get the picture clearly. Can you provide a diagram or a sort of representation?

Regards.

---------- FOLLOW-UP ----------

the building
the building  
QUESTION: here is a diagram for the building , thank you very much :)

Answer
Hi Sofie,
This is what i understand (correct me if i'm wrong). The volume of the building should be exactly 225000 cubic feet, the foundation area refers to the area on which the building stands, the sides are the semi-circles, the roofing is the surface area i.e the darkest region of the diagram?
What does "which is one cubic foot for each sprout on the Chia plane" mean?
Please reply.

Calculus

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