An aquarium with a square base has no top. There is a metal frame. Glass costs 5 dollars/m2 and the frame costs 2 dollars/m. The
volume is to be 20 m3. Express the total cost ???? in terms of the height ℎ in meters. (Hint: work out the cost of the glass and frame separately.)
1 answer:
Answer:
C = 420/h + 400
Step-by-step explanation:
Let s be the side of the square base.
Let h be the height
Volume = s*h
20 = s*h
s = 20/h
Cost of glass is
5(20/h) + 5(4* h*20/h)
= 100/h + 400
Cost of frame is
2*4(20/h) + 2*4(20/h)
= 160/h + 160/h
= 320/h
Total cost = C
C = cost of glass + cost of frame
C = 100/h + 400 + 320/h
C = 420/h + 400
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ON edgenuity 2020
