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Question

The picture shows a gutter which is a trapezium same leg. Given the length of the leg are 10 cm including the base of the trapezium. Count the part of the open top part of the trapezium , d , so that the gutter can support the maximum volume of water. Give the reason to support your working answer.

My Working

Im also not really sure of the question they asking. Sorry cause i had to translate my maths from malay to english. If im not wrong, i must count the length of the open top part. Then count the volume of maximum water that can be support by the gutter.

I found the length of " d " not the whole top part. Assume the whole gutter was a heksagon. So i use the formula ( n - 2 ) X 180 degree. I get the whole inside angleis 720 then divide by 6. So each angle is 120 degree. Then i cut the angle to half then use sin to count 1 part of the length of " d ". Add up the total i got the length of " d " is 20 cm.

Now im stuck here because im not sure how i want to count next. I notice that i need to use Differentiation to count the volume of water. But im not sure how. This my working.

Please correct me if Im wrong. But im sure that i did some mistake. IF i did not provide enough information please tell. Sorry for my bad language cause i kinda learn my science and maths subject in Malay. Really sorry And Thx

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# Homework Help: My Maths Project. Kinda Confuse and Lost.

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