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26 Μαΐ 2020 · After cutting out the squares from the corners, the width of the open-top box will be 5-2x, and the length will be 7-2x. We’re being asked to maximize the volume of a box, so we’ll use the formula for the volume of a box, and substitute in the length, width, and height of the open-top box.
If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. The quantity we want to optimize is the volume of the box. Let V be the volume of the box. We want to find the maximum value of V.
Maximizing the Volume of a Box. An open-top box is to be made from a 24 24 in. by 36 36 in. piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?
21 Μαρ 2023 · A closed top box is to be made from piece of cardboard with a surface area of 526. If the volume is maximized, what's the length and width of the box?
A box with a square base and an open top is to be made. You have $1200\operatorname{cm}^2$ of material to make it. What is the maximum volume the box could have? Here's what I did: $$1200 = x^2+...
This video provides an example of how to use calculus methods to determine the maximum volume of an open top box with a fixed surface area.https://mathispowe...
Use this box volume calculator to easily calculate the volume of a rectangular box or tank from its length, width and height (depth) in any metric: mm, cm, meters, km, inches, feet, yards, miles... Useful for shipping dimensions in cubic meters / feet.
