Donald Johnson

2021-12-30

Your iron works has contracted to design and build a $500-f{t}^{3}$ , 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?

alkaholikd9

Beginner2021-12-31Added 37 answers

Step 1

x=length of the square base

h=height

S=surface area=4 rectangular sides + square base

V = volume=500

Step 2

Solve the vo;ume equation for h and substitute into the other equation.

Marcus Herman

Beginner2022-01-01Added 41 answers

Step 3

Find S

Find S

Vasquez

Expert2022-01-07Added 669 answers

Step 4

=5

Result

base=10 ft, height=5 ft

22+64

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