Your iron works has contracted to design and build a 500−ft3, square-based, open-top, rectangular steel holding tank for a paper company. The tank is made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that will make the tank weigh as little as possible. What dimensions do you tell the shop to use?

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alkaholikd9 · Accepted Answer

Step 1 x=length of the square base h=height S=surface area=4 rectangular sides + square base V = volume=500 ft3 S=4xh+x2 V=500+hx2 Step 2 Solve the vo;ume equation for h and substitute into the other equation. h=500x2 S=4x(500x2)+x2 =2000x+x2

Marcus Herman · Accepted Answer

Step 3  Find S

Vasquez · Accepted Answer

Step 4 h=500(10)2 =5 Result base=10 ft, height=5 ft

Your iron works has contracted to design and build a 500-ft^{3}, square-ba

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