A warehouse is being designed. The bricks walls will cost $3 per square foot to build. The roof is to be flat and square and will cost $24 per square foot to build. The volume of the building is to be 32,000 cubic feet.

Which of the following expresses the cost of building the warehouse?
a.)4xh+24x^2
b)4xh+x^2
c) x^2h=32000
d)12xh+24x^2

Question

A warehouse is being designed. The bricks walls will cost $3 per square foot to build. The roof is to be flat and square and will cost $24 per square foot to build. The volume of the building is to be 32,000 cubic feet.

Which of the following expresses the cost of building the warehouse?
a.)4xh+24x^2
b)4xh+x^2
c) x^2h=32000
d)12xh+24x^2

campbell_st · Answer

seems that there are a few assumptions made here... the building block is square so the area. Let x be the length of 1 side of the building.... area of the square roof is x^2  

at a cost of $24 per square ft the cost of the roof is 24x^2

the 4 walls have length x and height h . Area of 1 wall is xh. Of 4 walls is 4xh. 

the cost of 4 walls is 4xh x 3 = 12xh

Total cost is Walls + Roof

C = 12xh + 24x^2

anonymous · Answer

Thank you for your help campbell