A builder wishes to construct a warehouse with a square front and a volume of 500 cubic meters. Find a formula in terms of x for the total construction cost C(x) of the warehouse.
A builder wishes to construct a warehouse with a square front and a volume of 500 cubic meters. Find a formula in terms of x for the total construction cost C(x) of the warehouse.
Let x be the side of the square front.
x^2 is the area of the square front.
Let l be the length of the base, then xy is the area of the base.
The total area of the warehouse, for 4 walls and a roof is thus:
The volume of the warehouse is given by
The construction, I assume, is based on the area (amount of concrete or other materials needed). Use the second equation with volume to get the area in terms of x only.
All times are GMT -7. The time now is 09:11 AM. |