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30 Ιουλ 2024 · To find the volume of a box, simply multiply length, width, and height — and you're good to go! For example, if a box is 5×7×2 cm, then the volume of a box is 70 cubic centimeters. For dimensions that are relatively small whole numbers, calculating volume by hand is easy.
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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.
21 Μαρ 2023 · Find the maximum volume of an open top prism with an isosceles base, if the surface area is constant and length is 1. 2 A closed top box is to be made from piece of cardboard with a surface area of 526.
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: $$1200 = x^2+4xz;$$ where $x$ is length of base and $z$ is height of box. Also, let the volume of box be $V$, then
14 Δεκ 2015 · The question reads : A box (with no top) is to be constructed from a piece of cardboard of sides $A$ and $B$ by cutting out squares of length $h$ from the corners and folding up the sides as in the figure below: Suppose that the box height is $h = 3 in.$ and that it is constructed using $134 in.^2$ of cardboard (i.e., $AB = 134$).
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.
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...