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Find the surface area of the prism


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1.I have a prism with total surface area of 384 cm² , given the height of prism is 6 cm ...

of prism is 10 cm , can you help me to find the wide of prism
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3.I am trying to figure out the optimal radius that will give the lowest surface area of a cylinder. I ...

have done the calculus which reveals that the surface area is at a minimum when height is double the radius. I am now trying to find an equation for the relationship between the amount of wasted surface area as a percentage of the minimum surface area and the ratio between height and radius. If I were to plot it on a graph, the y axis would be the percentage of excess materials needed as a percentage of the minimum possible surface area, and the x axis would be height divided by radius. Since the surface area is minimized when height=2(radius), I know that when x=2, y=0. The website explains what I am trying to do quite well and shows the graph below. I am trying to find the equation for this graph, but am unsure how to go about it.
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4.Find the surface area of a closed cylinder when the height is three times the radius.(using only variables). The answer is ...

variables). The answer is 8 pi r squared - 10pi r, but I'm not sure how they got the 10 pi r I only was able to get 8 pi r squared
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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