
calculus - Minimizing the surface area with a constant volume ...
Feb 27, 2021 · If the question is to find dimensions of a rectangular box, with constant volume of $1600$, that minimizes the surface area of the box. The box is closed on top.
geometry - slant height and surface area of oblique prisms ...
Mar 21, 2023 · Is this correct? I realized that an oblique prism can either slant in only one direction (so its faces include 2 parallelograms and 4 rectangles, as in the picture) or slant in both …
rectangles - How to find the surface area of a open top …
Oct 8, 2016 · The following is the process to find the surface area of rectangular box with its top side missing. Let's call the side of the square base $s$ and let's call the height of the prism $h$.
Volume of a Rectangular Prism when given only the Surface Area
May 3, 2015 · So, in my equation, they ask you to find the volume of a rectangular prism when you only are given the surface area. As an example, one of the equations gave you a surface …
calculus - Minimizing the surface area of a rectangular prism with ...
Jan 3, 2020 · A cube has the smallest surface:volume ratio, so the expected answer is $\sqrt [3] {50}m$. Of course, to prove this, you can write the dimensions of the rectangular prism in …
The box has minimum surface area - Mathematics Stack Exchange
May 15, 2015 · Show that a rectangular prism (box) of given volume has minimum surface area if the box is a cube. Could you give me some hints what we are supposed to do?? $$$$ EDIT: …
Finding the surface area of a greenhouse - Mathematics Stack …
Jun 18, 2020 · Determine the surface area of the greenhouse with the dimensions below. Round to the nearest whole number. Dimensions: 96' long, 23' wide, 12' high, 6'4" height from floor …
geometry - Maximizing the volume of a rectangular prism
May 12, 2013 · A rectangular prism has a surface area of $300$ square inches. What whole number dimensions give the prism the greatest volume? This is a math olympiad problem. It …
Is there a reason that the maximal volumes of rectangular prisms …
May 16, 2016 · $\hskip2in$ One may continue to extend the problem by considering a rectangular prism with two faces removed under a surface area constraint. If the removed faces are on …
geometry - Minimizing the surface area of a rectangular prism ...
May 27, 2017 · But, a cube with 6 has the maximum possible surface area. Why is it that a rectangular prism with known sum of sides has largest possible surface area when it is cube, …