SOLUTION: An aquarium with a square base has no top. There is a metal frame. Glass costs 10 dollars/m^2 and the frame costs 10 dollars/m. The volume is to be 20 m^3. Express the total cost C
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Question 1097462: An aquarium with a square base has no top. There is a metal frame. Glass costs 10 dollars/m^2 and the frame costs 10 dollars/m. The volume is to be 20 m^3. Express the total cost C in terms of the height h in meters. (Hint: work out the cost of the glass and frame separately.)
I/m stuck on this problem! Please help.
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the side of the square base
The height is m
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The cost of the glass is:
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The cost of the frame is:
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Chck the math and get another opinion if needed
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The first solution is not right....
The aquarium has a square base of side length s and a height of h. The volume is to be 20, so
The glass required is for the base, area s^2, and four sides, each area s*h. That total area is
The cost of the glass is then
The metal needed for the frame is 4 sides on top and 4 sides on bottom, each length s, and 4 vertical edges, each length h. The total length of all the edges is
and then the cost for the metal for the frame is
Then an expression for the total cost in terms of the height h is
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