
Jared B.
asked 05/26/16NEED Help Fast. I really cannot do it
I am having trouble with a question on one of my assignments. So I have to find the Minimum Height to hold a capacity of 93.75L. (Volume) All I know is the length is going to be 15 metres. I need to use algebra. I am assuming that it is a quadratic equation but I am not sure.
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1 Expert Answer
Andrew's comment is completely appropriate.
The words "length of 15 meters" imply that the container is a rectangle. If so, we can look at the relationship as follows: Volume = Length x Width x Height.
We have 93.75L, which is equal to 93,750cm3, and a length of 15m which is 1500cm.
So, we can write 93750cm3 = 1500cm •W•H
So, 62.5cm2 = W•H
If we assume that W = H, then the square root of 62.5cm2 = W and
W = 7.90cm.
The assumption that W = H is crucial, and, due to the absence of any other data, might not be correct. Furthermore, no criteria for "minimum height" were given, so, if the minimum height is 1cm, then the width will be 14.8cm which would still result in the same volume.
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Andrew M.
05/26/16