﻿ dimensions of a rectangular box

### Find Out Things About a Box - WebMath

You probably know that a box is an enclosed square, or rectangular structure. This page will help you to find out a bunch of mathematical things about boxes. Notes about boxes: A box is most often characterized by its height h, and its width, W, and its length L. The width, height, and length of a box …

### The dimensions of a rectangular box are in the ratio 1 : 2 ...

The dimensions of a rectangular box are in the ratio 1: 2: 4 and the difference between the costs of covering it with the cloth and sheet at the rate of R s. 2 0 and R s. 2 0. 5 0 per square metre, respectively is R s. 1 2 6. Find the dimensions of the box.

### Box Diagonal - vCalc

Apr 21, 2017· The mathematical term for a box is a rectangular cuboid. The formula for the diagonal of a box is: D = √ L 2 + W 2 + H 2 D = L 2 + W 2 + H 2. where: D = Diagonal of a box; L = Length; W = Width; H = Height; Box Calculators. Rolling Offset (run) - Equation to calculate the run (R) in the diagram above. Magnitude of a 3D Vector; surface area of ...

### Find dimensions of the rectangular box of maximum volume ...

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of ... Find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4... Which equation can be used to find the volume of a sphere that has a radius of 9 inches .

### the dimensions of a rectangular box are in a ratio 2:3:4 ...

Feb 25, 2016· the dimensions of a rectangular box are in a ratio 2:3:4 and the difference between the cost of coveringit with sheet of paper at the rate of rs.8 and rs.9.50 per m 2 is rs.1248. find the dimension of the box

### What are the dimensions of the box? - Math Central

What are the dimensions of the box? - Math Central. The longest rod that will just fit inside a rectangular box, if placed diagonally top to bottom, is 17 inches. write the diagonal length of the rod [as a number] in terms of length, width, and height. The box is …

### Maximize Volume of a Box - Optimization Problem

Squares of equal sides x are cut out of each corner then the sides are folded to make the box. Find the value of x that makes the volume maximum. Solution to Problem 1: We first use the formula of the volume of a rectangular box. V = L * W * H The box to be made has the following dimensions: L = 12 - …

### How to find the maximal volume of a rectangular box ...

Let [math](x[/math][math],y,z)[/math] be the corner of the box in the positive octant, with sides parallel to the axes. Then the volume of the box is [math]8xyz[/math]. The sphere of radius [math]a[/math] is given by [math]x^2+y^2+z^2=a^2[/math]. ...

### Dimensions of a closed rectangular box | Physics Forums

Oct 01, 2005· Related Threads on Dimensions of a closed rectangular box Thermodynamics: Heating a Rectangular Box. Last Post; Feb 22, 2013; Replies 6 Views 4K. Rectangular box - find area. Last Post; Feb 21, 2004; Replies 5 Views 2K. Relative energies inside a rectangular box. Last Post; Jul 10, 2011; Replies 3 Views 1K. K. Rectangular box tips over (or not ...

### How do you find the dimensions of a rectangular box that ...

How to Calculate Volume of a Box: 9 Steps (with Pictures)

### Determine the dimensions of a rectangular box, open at the ...

Nov 23, 2009· Determine the dimensions of a rectangular box, open at the top, having volume 4 m3, and requiring the least amount of material for its construction. Use the second partials test. (Hint: Take advantage of the symmetry of the problem.) Homework Equations The Attempt at a Solution Volume, V= 4m^3 let x = length y = width z = height 4m^3 = xyz x = 4/yz

### How to Make a Rectangular Box Pattern - Boxes and Bags ...

The rectangle for the pattern is the size of the box's base plus two times the depth added to both dimensions. For example, for a box made from cardstock that is 4" by 6" and 2" deep the pattern rectangle is 8" by 10"—add 4" (2" x 2) to the width and length of the base.

### Volume of a Rectangle Calculator | Volume of a Rectangular Box

The volume of a rectangular box is the amount of space occupied by the object. This is an online volume of a rectangle calculator that calculates the volume of a rectangular box from the dimensions of length, width, and height. Just copy and paste the below code to your webpage where you want to display this calculator.

### Jan says if you double each of the dimensions of a ...

Oct 28, 2011· Find the dimensions of such a box if the amount of material used in its construction is to be minimal. Hint: Let the dimensions of the box be x . Math. An open rectangular box has internal. dimensions 2cm long, 20cm wide and 22.5cm deep .lf the box is made of wood 2.5cm thick, calculate the wood in cm cube

### Volume to Length, Width or Height Calculator

Also a graphic of the rectangular box will be drawn and labels added for the volume and each dimension of length, along with the selected measurement units. Formula. The formula used by this calculator to calculate the unknown length, width or height of a rectangular shaped box is: L3 = V / (L1 · L2) Symbols. V = Volume; L1 = 1st Length L2 ...

### The dimensions of a box

Let's draw a box and label the height h, the width w and the depth d. Each of the areas is a rectangle and you know that you multiply the two dimensions of a rectangle together to get the area. This means in our diagram, The top is: 120 = w d, The side is: 96 = h d, and the end is: 80 = w h.

### How do you find the dimensions of a rectangular box that ...

Mar 17, 2015· The box should be a cube and each dimension should be frac{2sqrt{21}}{3}approx 3.05 units. The maximum volume is frac{56sqrt{21}}{9}approx 28.5 cubic units. Let x, y, and z be the dimensions of the box. Then V=xyz and S=2xy+2xz+2yz are the volume and surface areas of the box. It might make some intuitive sense to you that the answer is a cube so that x=y=z.

### Finding dimensions of a rectangular box

Find the dimensions of a rectangular box without a top, of the maximum capacity with a surface area of 108 c m 2. This is my attempt at solving the problem : If x, y, z are the dimensions of the box, Surface Area : x y + 2 x z + 2 y z = 108 c m 2. Volume : V = x y z. multivariable-calculus.

### Volume of a Box Calculator - Box Volume Calculator

Calculate the volume of a rectangular box or tank using our free volume of a box calculator. Box volume calculator online that works in many different metrics: mm, cm, meters, km, inches, feet, yards, miles. Can be used to calculate shipping dimensions in cubic meters or cubic feet. Cubic Meter Calculator for Shipping.

### A rectangular box, open of the top is to have a volume of ...

The dimensions must be close to (32)^1/3 or 3.17 Total surface of the box or 5×10.08 =50.4 S.A.= L*B +2(L*H) +2(B*H)=50.4 Let L=B =3 9+12H = 50.4 H = 41.4/12 = 3.45 increase ht. to 3.6 Dimensions of box …

### Find the dimensions of a rectangle - Math Expression

An open rectangular box is to be formed by cutting identical square, each side 2 in, one from each corner of a rectangular piece of cardboard, and then turning up the ends. If the area of the piece of card board is 160 in^2 and the box is to have 144 in^2, what should have been the dimensions of the cardboard used?

### Solved: Find The Dimensions Of The Rectangular Box With La ...

Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be the dimensions of the rectangular box.) (x, y, z)

### The dimensions of a rectangular box are in the ratio of 2 ...

The dimensions of a rectangular box are in the ratio of 2: 3: 4 and the difference between the cost of covering it with sheet of paper at the rates of R s 8 and R s 9. 5 0 p e r m 2 is R s 1 2 4 8. Find the dimensions of the box.

### calculus - The box has minimum surface area - Mathematics ...

May 15, 2015· 7 Answers7. Hint: Let a box be x -by- y -by- z. Here we assume x > 0, y > 0, z > 0. Then the surface area of the box is A = 2(xy + xz + yz) and the volume V = xyz is fixed. We need to find the minimum of A(x, y, z) given additional condition V = xyz. But z = V xy and, hence, A can be considered as a function in two variables x and y : A ⋆ (x ...

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