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์ด ์ง๋ฌธ์ ๋ง๊ฐ๋์์ต๋๋ค. ํธ์งํ๊ฑฐ๋ ๋ต๋ณ์ ์ฌ๋ฆฌ๋ ค๋ฉด ์ง๋ฌธ์ ๋ค์ ์ฌ์ญ์์ค.
A rectangular box without a lid is to be made from 27๐2 of cardboard. Find the maximum volume of such a box
์กฐํ ์: 1 (์ต๊ทผ 30์ผ)
์ด์ ๋๊ธ ํ์
plz tell the answer if u know
๋๊ธ ์: 3
DGM
2021๋
7์ 1์ผ
This is a typical calculus 1 problem. You can do this as your course intends or approach it graphically to build your expectations/intuition. There are plenty of examples of solving this the intended way. The obvious thing to recognize is that for volume to be maximized for a fixed surface area, the bottom of the box must be square. This reduces the problem to a simple 1D maximization task. Express the volume as a function of area and width (or area and height). Treat the chosen dimension as the independent variable, and find the width (or height) at which the slope of V = 0. Back calculate to find the volume and remaining dimensions.
๋ต๋ณ (0๊ฐ)
์ด ์ง๋ฌธ์ ๋ง๊ฐ๋์์ต๋๋ค.
์ฐธ๊ณ ํญ๋ชฉ
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