﻿ surface of a rectangular box

## surface of a rectangular box

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• • ### surface of a rectangular box

surface of a rectangular box: This video explains how to find the surface area of an open top box.Video Library:

• ### Volume and Surface Area of a Box - YouTube

Jan 17, 2012· QUESTION: Find the area and volume of a box that is 10cm wide, 5cm long, and 2cm high.

• ### SOLUTION: What is the total surface area of a rectangular ...

Question 196368: What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot? Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website! 2(1*1)+4(5*1)=2*1=4*5=2+20=22 ft^2 is the totala surface area of the box.

• ### Chapter 22 – Gauss Law - Physics

surface of box 1. r2 = 2r 1= distance of q to surface of box 2. In (c), E 2 = E 1/4,since r 2=2r 1, but A 2=4A 1 net flux constant. - Electric flux = (perpendicular component of E) · (area of box face)-The net electric flux due to a point charge inside a box is independent of box's size, only depends on net amount of charge enclosed.

• ### Find the dimensions of the rectangular box, open at the ...

May 08, 2019· Let x, y, z respectively be the length, breadth and height of the rectangular box. Since it is open at the top, the surface area (S) is given by. S = xy + 2xz + 2yz = 432 (using the data) Volume (V) = xyz. We need to find x, y, z such that V is maximum subject to the condition that. xy + 2xz + 2yz = 432. Let F = xyz + λ (xy + 2xz + 2yz)

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

May 15, 2015· 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, y) = 2(xy ...

• ### Solving for the Surface Area of a Rectangular Box ...

We explain Solving for the Surface Area of a Rectangular Box with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. This lesson demonstrates how to use the proper formula and procedure to calculate the surface area of a rectangular box.

• ### 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 …

• ### Solved: Determine The Minimum Surface Area Of A Rectangula ...

Determine the minimum surface area of a rectangular box with a square base, an open top, and a volume of 108,000 in3. Enter only the minimum surface area, and do not include units in your answer. Expert Answer (5 ratings) Previous question Next question Get more help from Chegg.

• ### How to find the Surface Area of a Rectangular Prism - YouTube

Jul 13, 2008· Step by step procedure to finding surface area of a rectangular prism.

• ### Volume and Surface Area of a Rectangular Prism or Box ...

Oct 12, 2015· Learn why the formulas for finding the volume and surface area of a rectangular box work! See a few examples and gain a better understanding what volume and...

• ### Finding the Volume and Surface Area of Rectangular Solids ...

The surface area [latex]S[/latex] of the rectangular solid shown above is [latex]52[/latex] square units. In general, to find the surface area of a rectangular solid, remember that each face is a rectangle, so its area is the product of its length and its width (see the image below).

• ### Lateral Surface Area: Definition & Formula - Video ...

Dec 03, 2019· The formula for the lateral surface area of a rectangular box, also called a cuboid, is 2h(l + w), where l = length, w = width, and h = height. Practice Problems Joe …

• ### Boxed In and Wrapped Up - Lesson - TeachEngineering

Jul 01, 2021· Determine the difference in surface areas of a rectangular box of given dimensions, and a cube-shaped box having the same volume as the rectangular box. Sketch a cube-shaped box, including its dimensions, that has the same volume as a provided rectangular box. Identify realistic criteria and constraints that should be considered in packaging ...

• ### Dimensions of rectangular box whose surface area is 432 units

Jun 22, 2019· Max volume of rectangular box in ellipsoid Hot Network Questions How long can a professional trumpet player go without practicing before seeing detrimental effects?

• ### Find the dimensions of the rectangular box with the ...

Feb 27, 2021· Find the maximum and minimum volumes of a rectangular box whose surface area is 1300 cm2 and whose total edge length is 200 cm. calculus. 7. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides.

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

May 14, 2015· 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, y) = 2(xy ...

• ### SOLUTION: (How do you find the surface area of a special ...

Question 188768This question is from textbook Problem Solvinh: (How do you find the surface area of a special rectangular box?) S= 4lw + 2wh (S = 102, L = 7, w = 3) In this problem, they want you to solve for unknown variable(H)? This question is from textbook Problem Solvinh Answer by …

• ### geometry - Calculating a minimum Surface area of a box ...

May 07, 2018· I want to calculate the minimum surface area of a (closed) box for a given volume. So let's say I have a given volume V (e.g. V=10m^3). And I need a box where all the surface area is as minimal as possible. This would be a great starting point if I knew how to calculate that.

• ### 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.

• ### What is the total surface area of a rectangular box of a ...

It is well known that the surface area for the rectangular box with edges x, y and z is 2(xy + xz + yz), while its volume is xyz. It is given 2(xy + xz + yz) = 64, so we can express z via x and y as: z = (32 - xy)/(x+y) Hence, the volume as a function of x and y is: (basically replacing z with the above equation)

• ### Volume, Surface Area, and Diagonal of a Rectangular Box

The box calculator will also tell you the dimensions of the box if you input the values for V, S, and D. For example, if a box has a volume of 4000 cubic inches, a surface area of 1600 square inches, and a diagonal of 30 inches, then its dimensions are 20, 20, and 10.

• ### Solved: A rectangular box with an open top has a surface ...

Answer to A rectangular box with an open top has a surface area of 726 cm2. The base is twice as long as it is wide. Find the....

• ### The surface area of a rectangular box is given by the ...

The box is to have dimensions of 5 inches by 3 inches by 8 inches. Find H the surface area of the box. The surface area of the box is sq in. in. cu in. Question: The surface area of a rectangular box is given by the polynomial 2HL+2LW+2HW and is measured in square units. A rectangular box is to be constructed to hold a shipping material.

• ### Minimum Surface Area of Rectangular Box with Volume 288 3 ...

May 25, 2018· Calculus Optimization, Maximum Minimum : https://&index=19&list=PLJ-ma5dJyAqopg8K-iLSzYaLRqm6WUYt2

• ### Online Conversion - Surface Area of a Rectangular Box

Welcome to OnlineConversion.com. Surface Area of a Rectangular Box. For rectangular shapes that are a perfect cube, try the Simple Cube conversion. For help with using this calculator, see the object surface area help page. Return to the Object Surface Area section.

• ### Dimensions of box with largest volume | Physics Forums

Aug 27, 2008· Homework Statement Find the d

• ### Ex: Find the Surface Area of an Open Top Box - YouTube

This video explains how to find the surface area of an open top box.Video Library:

• ### Volume and Surface Area of a Box - YouTube

Jan 17, 2012· QUESTION: Find the area and volume of a box that is 10cm wide, 5cm long, and 2cm high.

• ### SOLUTION: What is the total surface area of a rectangular ...

Question 196368: What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot? Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website! 2(1*1)+4(5*1)=2*1=4*5=2+20=22 ft^2 is the totala surface area of the box.

• ### Chapter 22 – Gauss Law - Physics

surface of box 1. r2 = 2r 1= distance of q to surface of box 2. In (c), E 2 = E 1/4,since r 2=2r 1, but A 2=4A 1 net flux constant. - Electric flux = (perpendicular component of E) · (area of box face)-The net electric flux due to a point charge inside a box is independent of box's size, only depends on net amount of charge enclosed.

• ### Find the dimensions of the rectangular box, open at the ...

May 08, 2019· Let x, y, z respectively be the length, breadth and height of the rectangular box. Since it is open at the top, the surface area (S) is given by. S = xy + 2xz + 2yz = 432 (using the data) Volume (V) = xyz. We need to find x, y, z such that V is maximum subject to the condition that. xy + 2xz + 2yz = 432. Let F = xyz + λ (xy + 2xz + 2yz)

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

May 15, 2015· 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, y) = 2(xy ...

• ### Solving for the Surface Area of a Rectangular Box ...

We explain Solving for the Surface Area of a Rectangular Box with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. This lesson demonstrates how to use the proper formula and procedure to calculate the surface area of a rectangular box.

• ### 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 …

• ### Solved: Determine The Minimum Surface Area Of A Rectangula ...

Determine the minimum surface area of a rectangular box with a square base, an open top, and a volume of 108,000 in3. Enter only the minimum surface area, and do not include units in your answer. Expert Answer (5 ratings) Previous question Next question Get more help from Chegg.

• ### How to find the Surface Area of a Rectangular Prism - YouTube

Jul 13, 2008· Step by step procedure to finding surface area of a rectangular prism.

• ### Volume and Surface Area of a Rectangular Prism or Box ...

Oct 12, 2015· Learn why the formulas for finding the volume and surface area of a rectangular box work! See a few examples and gain a better understanding what volume and...

• ### Finding the Volume and Surface Area of Rectangular Solids ...

The surface area [latex]S[/latex] of the rectangular solid shown above is [latex]52[/latex] square units. In general, to find the surface area of a rectangular solid, remember that each face is a rectangle, so its area is the product of its length and its width (see the image below).

• ### Lateral Surface Area: Definition & Formula - Video ...

Dec 03, 2019· The formula for the lateral surface area of a rectangular box, also called a cuboid, is 2h(l + w), where l = length, w = width, and h = height. Practice Problems Joe …

• ### Boxed In and Wrapped Up - Lesson - TeachEngineering

Jul 01, 2021· Determine the difference in surface areas of a rectangular box of given dimensions, and a cube-shaped box having the same volume as the rectangular box. Sketch a cube-shaped box, including its dimensions, that has the same volume as a provided rectangular box. Identify realistic criteria and constraints that should be considered in packaging ...

• ### Dimensions of rectangular box whose surface area is 432 units

Jun 22, 2019· Max volume of rectangular box in ellipsoid Hot Network Questions How long can a professional trumpet player go without practicing before seeing detrimental effects?

• ### Find the dimensions of the rectangular box with the ...

Feb 27, 2021· Find the maximum and minimum volumes of a rectangular box whose surface area is 1300 cm2 and whose total edge length is 200 cm. calculus. 7. A cardboard box manufacturer wishes to make open boxes from rectangular pieces of cardboard with dimensions 40 cm by 60 cm by cutting equal squares from the four corners and turning up the sides.

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

May 14, 2015· 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, y) = 2(xy ...

• ### SOLUTION: (How do you find the surface area of a special ...

Question 188768This question is from textbook Problem Solvinh: (How do you find the surface area of a special rectangular box?) S= 4lw + 2wh (S = 102, L = 7, w = 3) In this problem, they want you to solve for unknown variable(H)? This question is from textbook Problem Solvinh Answer by …

• ### geometry - Calculating a minimum Surface area of a box ...

May 07, 2018· I want to calculate the minimum surface area of a (closed) box for a given volume. So let's say I have a given volume V (e.g. V=10m^3). And I need a box where all the surface area is as minimal as possible. This would be a great starting point if I knew how to calculate that.

• ### 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.

• ### What is the total surface area of a rectangular box of a ...

It is well known that the surface area for the rectangular box with edges x, y and z is 2(xy + xz + yz), while its volume is xyz. It is given 2(xy + xz + yz) = 64, so we can express z via x and y as: z = (32 - xy)/(x+y) Hence, the volume as a function of x and y is: (basically replacing z with the above equation)

• ### Volume, Surface Area, and Diagonal of a Rectangular Box

The box calculator will also tell you the dimensions of the box if you input the values for V, S, and D. For example, if a box has a volume of 4000 cubic inches, a surface area of 1600 square inches, and a diagonal of 30 inches, then its dimensions are 20, 20, and 10.

• ### Solved: A rectangular box with an open top has a surface ...

Answer to A rectangular box with an open top has a surface area of 726 cm2. The base is twice as long as it is wide. Find the....

• ### The surface area of a rectangular box is given by the ...

The box is to have dimensions of 5 inches by 3 inches by 8 inches. Find H the surface area of the box. The surface area of the box is sq in. in. cu in. Question: The surface area of a rectangular box is given by the polynomial 2HL+2LW+2HW and is measured in square units. A rectangular box is to be constructed to hold a shipping material.

• ### Minimum Surface Area of Rectangular Box with Volume 288 3 ...

May 25, 2018· Calculus Optimization, Maximum Minimum : https://&index=19&list=PLJ-ma5dJyAqopg8K-iLSzYaLRqm6WUYt2

• ### Online Conversion - Surface Area of a Rectangular Box

Welcome to OnlineConversion.com. Surface Area of a Rectangular Box. For rectangular shapes that are a perfect cube, try the Simple Cube conversion. For help with using this calculator, see the object surface area help page. Return to the Object Surface Area section.

• ### Dimensions of box with largest volume | Physics Forums

Aug 27, 2008· Homework Statement Find the dimensions of a rectangular box with the largest volume with surface area 64cm^2. Homework Equations area of a rectangular prism 2xy+2yz+2xz The Attempt at a Solution took 2xy+2yz+2xz=64 rearranging for z: z=(xy-32)/(y+x) partial derivative of z...

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