Jun 5, 2010 · The discussion focuses on maximizing the volume of a rectangular box inscribed within the ellipsoid defined by the equation (x^2/a^2) + (y^2/b^2) + (z^2/c^2) = 1. The volume …

Dec 9, 2012 · The discussion focuses on calculating the rate of change of the volume of a rectangular box given specific dimensions and rates of change for length, width, and height. …

Nov 6, 2008 · Homework Statement Find the dimensions of the rectangular box of largest volume that can be inscribed in a sphere of radius 1. Homework Equations v=w*l*h, Set the partials …

Mar 27, 2012 · The maximum volume of a rectangular box inscribed in a hemisphere of radius R can be determined by maximizing the function V = 8xy (R^2 - x^2 - y^2)^ (1/2) under the …

Oct 20, 2009 · Homework Statement Hello: This is a max/min problem. I am asked to find the rectangular box of maximum volume inscribed in a hemisphere of radius R. Homework …

Oct 25, 2005 · Question: [ A rectangular box, whose edges are parallel to the coordinate axes, is inscribed in the ellipsoid 96x^2 + 4y^2 + 4z^2 = 36, What is the greatest possible volume for …

Mar 14, 2010 · Homework Statement Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in the plane x + y + 4z = 4 …

Sep 29, 2011 · The cereal box is a rectangular prism with a volume of 2500 cm³. The dimensions are defined by the relationships: the width (w) is four times the depth (d), and the height (l) is …

Nov 19, 2003 · "Hi, I have a question on max vol. q. Its invloved with multivariable calculus. Q) Find the volume of the largest rectangular box with edges parallel to the axes that can be …

Jul 15, 2014 · The discussion centers on proving that a rectangular box with a given volume has the minimum surface area when it is a cube. The surface area is defined as SA = 2 (wl + hl + …