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.

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 …

To find the volume of a box, or rectangular prism, we simply need to multiply the length of the box by its width and then height. As the final step of your solution, don't forget your cubic units!

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 …

Learn how to find the volume of a rectangular prism using unit cubes, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

Find the volume of a rectangular solid with the following dimensions: 2sqrt {3} cm times 7sqrt {5} cm times 4sqrt {6} cm . Use Lagrange multipliers to find the dimensions of a rectangular box with largest …

You are planning to make an open rectangular box from a 24-inch by 47-inch piece of cardboard by cutting congruent squares from the corners and folding up the sides. What are the dimensions of the …

The volume of a rectangular box is given by the formula V = l w h, where l is the length, w is the width, and h is the height. What happens to the volume if the length and height are doubled and the width is …

Dec 19, 2014 · This was one of the problems: We have a rectangular box of a given volume V. Present the width, height, and length of the box as functions of V so that the box can be made with the least …

I am suppose to find the volume if 1200 cm^2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box. I think what I need to do is se...