Nov 18, 2020 · @MathLover So I can take z for example and write in terms of r, x, y in my volume equation (V). Now I set the partial derivatives of V with respect to x, and y to zero to find the critical …

A rectangular solid with a square base has a volume of 8000 cubic inches. Determine the dimensions that yield the minimum surface area. Find the dimensions of the rectangular box with maximum …

The volume of a rectangular prism is the inside capacity of the three-dimensional object that is the prism. In essence, the volume is how much the rectangular prism can hold.

Find Max/Min volume of rectangular box using Lagrange Multipliers Ask Question Asked 13 years, 1 month ago Modified 13 years, 1 month ago

Jul 6, 2014 · A rectangular box is to have a square base and a volume of 40 ft3. If the material for the base costs \\$0.31 per square foot, the material for the sides costs $0.05 per square foot, and the …

Sep 26, 2015 · What is the rate of change of the diagonal, volume, and surface of a box with dimensions a, b, and c? Ask Question Asked 10 years, 2 months ago Modified 10 years, 2 months ago

Find the volume of the largest rectangular box in the first octant with the three faces in the coordinate planes and one vertex in the plane $x+2y+3z=3$. Now I know ...

Finding the dimensions of the maximum volume box inside the ellipsoid. I assume that the volume of a box, $V (x,y,z) = xyz$ (they did not give this to me, but this is the volume of a box right?)

Jan 11, 2021 · A rectangular box open at top has a volume of 108 cubic feet. Find the dimensions if the surface area is minimum - 33176422

Jun 25, 2025 · Answer:Here's a simple flowchart to find the volume of a box (also called a rectangular prism). The volume is calculated using the formula:\text {Volume} = \text…