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Lateral surface area of a rectangular prism

This video illustrates how to use the formula for Lateral Area of a Rectangular Prism. For part 2 of this video, including example 2, as well as many more in.. On the other hand, A_l denotes the lateral area, meaning the total area of the four lateral faces. Therefore, since the solid has two bases (the bottom one and the top one), the surface area of a rectangular prism formula is as follows: surface_area = 2 * base_area + lateral_area, which, in our notation, translates t Rule 1: The lateral area of the prism is equal to the perimeter of the base times the altitude. Rule 2: The total surface area of a prism is the sum of the lateral areas and the area of its base. Example Rectangular prism: So, the surface area of five faces of the rectangular prism is 1862 cm 2. Use the Pythagorean Theorem to find the length of the hypotenuse of the base of the triangular prism . Triangular prism: So, the surface area of four faces of the triangular prism is about 962.8 cm 2. . $16:(5 2 62/87,21 2. 2. . . . Prism: each. area We know that, surface area of rectangular prism is calculated as, S u r f a c e a r e a = 2 (w i d t h × l e n g t h) + 2 (l e n g t h × h e i g h t) = 2 (7 × 12) + 2 (12 × 3) = 168 + 72 = 240 i n 2. Lateral area is the multiplication of perimeter of base and height of prism. Perimeter of rectangle is given as

3. find the surface area of the triangular prism. 4. how much greater is the surface area of the rectangular prism the surface area of . geometry. 1. which solid has two bases that are triangles and three lateral surfaces that are rectangles a. triangular pyramid b. rectangular prism c. triangular prism *** d. rectangular pyramid 2. a solid. Rectangular Prism Units of Measure Area of the Base, use (, , and so on). Volume, use (, , and so on). Perimeter of the base, use (, , and so on) Lateral Area, use. Calculator online for a the surface area of a capsule, cone, conical frustum, cube, cylinder, hemisphere, square pyramid, rectangular prism, triangular prism, sphere, or spherical cap. Calculate the unknown defining side lengths, circumferences, volumes or radii of a various geometric shapes with any 2 known variables. Online calculators and formulas for a surface area and other geometry problems S lat = lateral surface area S top = top surface area S bot = bottom surface area V = volume Calculator Use. Enter any 3 variables for a rectangular prism into this online calculator to calculate the other 3 unknown variables. A cube is a special case where l = w = h for a rectangular prism

A polyhedron with two polygonal bases parallel to each other is a prism.A Prism that has 2 parallel rectangular bases and 4 rectangular faces is a Rectangular Prism. The surface area of the rectangular prism is the sum of the area of lateral faces and rectangular bases A rectangular prism is a name for a 6-sided 3-dimensional figure that is very familiar to everybody—a box. Think of a brick, or a shoebox, and you know exactly what a rectangular prism is. The surface area is the amount of space on the outside of the object The total surface area of the prism is the sum of the areas of the bases and the lateral surface area. $16:(5 L § LQ 2; S§ LQ 2 62/87,21 The diameter of the base is 3.6 cm and the height of WKHF\OLQGHULV FP The total surface area of the prism is the sum of the areas of the bases and the lateral surface area. $16:(5 L § FP 2; S§ FP Lateral Surface Area of a Rectangular Prism The lateral surface area of a rectangular prism is the sum of the surface area of all its faces without the base of the rectangular prism. The lateral surface area of any right rectangular prism is equivalent to the perimeter of the base times the height of the prism

prism, any pair of opposite faces can be bases.) The lateral area of a right prism can be calculated by multiplying the perimeter of the base by the height of the prism. This is summarized by the formula: LA 5 hP. Triangular prism Rectangular prism c GOAL Calculate lateral area and surface area of right prisms. Learn about the Math right prism Surface Area of a Prism The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases. Usually, if right or oblique is not mentioned, you can assume the prism is a right prism. The general formula for the lateral surface area of a right prism is L We explain Lateral Area of a Prism with video tutorials and quizzes, using our Many Ways(TM) approach from multiple teachers. This tutorial demonstrates how to calculate the lateral area of two types of prisms: a rectangular prism and triangular prism. Using the perimeter of the base and the height, you will compare and contrast the methods from the two examples to form the general formula for. Lateral Area v. Surface Area Real-world problems may require calculating surface area or lateral area of three-dimensional figures. Visualizing and modeling can be helpful approaches. For example, modeling a triangular prism as a net makes it easier to see that the prism consists of three rectangular lateral faces and two triangular bases

Lateral Area of a Rectangular Prism - YouTube

The lateral area of a three-dimensional solid is the area of all the lateral faces. In this tutorial, you'll see how to use the dimensions of a rectangular prism to find the lateral area. Take a look He needs to calculate the lateral surface area of the shed so he will know how much paint to buy. The shed is in the shape of a rectangular prism shown below. Q. Find the surface area of the rectangular prism. answer choices . 140 in. 2. 83 in. 2. 166 in. 2. 100 in. 2. Tags: Question 32 . SURVEY Learn how to find the volume and the surface area of a prism. A prism is a 3-dimensional object having congruent polygons as its bases and the bases are j.. Find the lateral area of the rectangular prism with these dimensions: P = 10cm. H = 200cm. 2,000cm. 100. Find the total surface area of a rectangular prism with these dimensions: L.A. = 16cm. B = 30cm. 76cm 2. 200. This is the vertical distance from the top to the base of the object. Height. 200. Find the lateral area of the rectangular prism. To find the surface area of a triangular prism, use the formula Surface Area = L + 2B, where L is the lateral area and B is the area of the base. Find the lateral area by calculating the perimeter of the base and multiply it by the height of the prism. Then, find the base area by multiplying the base by the height of the triangle and dividing by 2

Lateral Area of a Rectangular Prism - YouTub

  1. Trapezoidal prism is a three dimensional shape which has six faces, two of them are trapezoidal in shape and other are rectangular. lateral surface area of trapezoidal prism is the summation of all faces around the base that equals to given in the formula
  2. 3D Shapes Prisms . A prism is a polyhedron for which the top and bottom faces (known as the bases) are congruent polygons, and all other faces (known as the lateral faces) are rectangles.(Technically, when the sides are rectangles, the shape is known as a right prism, indicating that the lateral faces meet the sides of the base at right angles
  3. The area of Rectangle have been discussed in another section, which is available for review before proceeding, if necessary. There are 6 faces in rectangular prism so to find the surface area of rectangular prism , add the area of each face. If the Rectangular prism is open from top and bottom then its area is called Area of 4 walls or Lateral.
  4. Surface Area of a Rectangular Prism can be defined as a measure of the total area that the surface of a rectangular prism occupies is calculated using surface_area = 2*(Length * Width + Length * Height + Width * Height).To calculate Surface Area of a Rectangular Prism, you need Length (l), Width (w) and Height (h).With our tool, you need to enter the respective value for Length, Width and.
  5. The surface area of a rectangular prism is the total area of all six faces. When you have a cube, finding the area of one face allows you to find the total surface area of the solid very quickly, since it will be six times the area of one face. Surface Area Of A Rectangular Prism Formula

Surface Area of a Rectangular Prism Calculato

Example 4: Finding the Surface Area of a Cube Knowing the Perimeter of Its Base. If the perimeter of the base of a cube is 54.4 cm, find its total surface area. Answer . A cube is a particular rectangular prism with 6 congruent faces that are squares. Its surface area is then six times the area of one of its faces how to find lateral surface area of a rectangular prism febrero 18, 2021 en Uncategorized por Hot Fishing Spots In Michigan , Consolidation Breakout Scanner , Ge 3 Clothes Care Cycle Dryer , Pool Grout Lowe's , Mother To Son Answer Key Pdf , Can You Negotiate With Dcm Services , Fallout 4 Missable Quests , Diet Orange Crush Near Me , When Are.

Lateral Surface Area of a Prism eMathZon

I. Surface Area of a Prism. Prism - Is a polyhedron with exactly 2 , // faces, called bases.. Name it by the shape of its bases. Bases are Rectangles: Lateral Faces - All faces that are not bases. (Sides What does lateral mean when asked to find the lateral surface area? Preview this quiz on Quizizz. What does lateral mean when asked to find the lateral surface area? Total/Lateral Surface Area and Q. Bob has a rectangular prism gift box what it the volume of bobs gift box? answer choices . 64in 3. 60in 3. 240in 3. 24in 3. Tags: Question 58. A rectangular prism has six faces- the base, the top, and the four sides. The base and top always have the same area. Similar is the case for its pairs of opposite sides. Volume of Rectangular Prism: V = lwh. Surface Area of Rectangular Prism: S = 2(lw + lh + wh) Rectangular Prism edges = 12, faces = 6, vertices = This file includes- -4 surface area of rectangular prism word problems (1 multiple choice/3 open ended) -1 classifying as lateral or total surface area PLUS Spiral Review -1 pattern and sequence problem (multiple choice) -1 area of square with decimals (gridded response) -1 surface area of the n

Problem 37 Easy Difficulty. Suppose the lateral area of a right rectangular prism is 144 square centimeters. If the length is three times the width and the height is twice the width, find the surface area A rectangular prism has 2 ends and 4 sides. Opposite sides have the same area. The surface area is the sum of the areas of all six sides. How to find the surface area of Rectangular Prisms: Find the area of two sides (Length*Height)*2 sides; Find the area of adjacent sides (Width*Height)*2 sides; Find the area of ends (Length*Width)*2 end

Surface Area of a Rectangular Prism Words The surface area S of a rectangular prism is the sum of the areas of the bases and the lateral faces. h w base base lateral face lateral face lateral face lateral face w w w h Algebra =S 2ℓw +h wh EXAMPLE 1 Finding the Surface Area of a Rectangular Prism Find the surface area of the prism. Draw a net. To find the surface area, visualize the net for this figure. The net consists of a large rectangle (the lateral faces) with sides of 12 cm and the perimeter of the base (5cm +5 cm +8 cm +8 cm = 26 cm). The area of the lateral faces would be . 12 cm X 26 cm = 312 square cm. The bases of the prism are rectangles with length and height of 8 cm and.

The height of the prism can be found if is known a - the side of the base, n - the number of sides and S - the area of the lateral surface: h = S/n*a. Also the height of prism can be found by it's volume, by the above formul Surface area using a net: rectangular prism Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501(c)(3) nonprofit organization Labeling paper covers the lateral area of a soup can like the one shown below. How much labeling paper is needed for 8 soup cans? Kenji is wrapping a birthday gift in the shape of a rectangular prism for his mother. Does Kenji need to find the volume or the Total surface area? 340.8 in². Find the total Surface Area For this standard, students will need to be able to determine both lateral and total surface area from a shape's net, rather than using a surface area formula. solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape. Surface area using a net: rectangular prism. Surface area of a box (cuboid) Surface area of a box using nets. Practice: Surface area using nets. Practice: Find surface area by adding areas of faces. Practice: Surface area. This is the currently selected item. Surface area word problem example

Given concrete models and nets (2-dimensional models) of prisms, pyramids, and cylinders, the student will find and determine the lateral and total surface area The surface area of the rectangular prism = 2(lw + lh + wh) where l = length , w= width , h = height surface area = 2(39 + 117 + 27) 183 sq. inches. Question 8. DIG DEEPER! Find the surface area of the bench shown. Justify your answer. Answer: The surface area of the bench = 16 sq. ft. Explanation: The surface area of the rectangular prism = 2. Step 2 Surface Area: Next we are going to find the surface area of this same cube. First you must measure the same way you did in the volume problem to get 2x2x2 again. Then you must multiply like this, (2*2)+(2*2)+(2*2)=12. What surface area is, is finding the area of each side then adding them all together. Think of each 2*2 as one side of.

Calculate lateral and surface area rectangular prism given

  1. The lateral faces of the prism are formed by a rectangle with a length of 5. Find the surface area of the triangular prism. Solution: 1.) Since the base of the prism is formed by a right triangle and we know the leg lengths of the triangle, we can use the legs as the base and height. Therefore, b = 4 and h = 7
  2. Lateral Surface Area of a Triangular Prism by Martha - January 29, 201
  3. Surface area of a triangular prism. The surface area formula for a triangular prism is 2 * (height x base / 2) + length x width 1 + length x width 2 + length x base, as seen in the figure below: A triangular prism is a stack of triangles, so the usualy triangle solving rules apply when calculating the area of the bases
  4. Find the lateral area of the given prism to the nearest square centimeter. Lateral area is the surface area of the sides excluding the top and bottom. So here it's not the top and bottom because the bottom actually isn't the base. It's not laying on the bottom. This is a triangular prism. A prism is made up of rectangles and its two bases

Find the surface area of a hexagonal prism with sides of 8 a height of 10 and an apothem of 7. The apothem is the distance from the center of the base to the side of the base Step 1 Find the base area using the formula 1⁄2 a* A rectangular prism has 2 ends and 4 sides. Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac (a, b, and c are the lengths of the 3 sides) In words, the surface area of a rectangular prism is the area of the six rectangles that cover it. • calculate the surface area of prisms: rectangular prisms, triangular prisms, trapezoidal prisms, hexagonal prisms etc. It is 2 centimeters tall, and. • Surface Area of a Right Prism The surface area of a right prism with lateral area L and base area B is S = L + 2 B, or S = Ph + 2 B. • Surface Area of a Cube The surface area of a cube with edge length s is S = 6 s 2. • Lateral Area of a Right Cylinder The lateral area of a right cylinder with radius r and height h is L = 2 πrh Rectangular right wedge refers to the right triangular prism turned, in a way that it rests on one of its lateral rectangular faces. Right wedge is a parallel side triangle with three trapezoid faces. It is a parallelepiped where the face is collapsed into line. Lateral surface area is the area of all the sides excluding the top and base

What is the lateral surface area of the prism? Rectangular

  1. Surface Area of Cylinders, Triangular & Rectangular Prisms Maze is a fun review activity or it can be an extension to your lesson. This has students solve for the lateral and total surface area of cylinders, triangular and rectangular prisms all mixed together in the same maze. This maze includ
  2. In this worksheet, we will practice calculating surface areas of rectangular prisms and cubes and using this to solve real-life problems. Q1: If the perimeter of the base of a cube is 54.4 cm , find its total surface area
  3. Example 1: Find the volume, surface area, length of a rectangular prism whose diagonal, width, and height are 10.77 cm, 6 cm, and 4 cm, respectively? Solution: Given that, Rectangular Prism diagonal d = 10.77 cm. Width w = 6 cm. Height h = 4 cm. Rectangular Prism Length formula is l = √(d² - w² - h²
  4. To find the surface area of a prism (or any other geometric solid) we open the solid like a carton box and flatten it out to find all included geometric forms. To find the volume of a prism (it doesn't matter if it is rectangular or triangular) we multiply the area of the base, called the base area B, by the height h
  5. The formulas for lateral surface area are based on the base of the figure and whether the figure is a prism, cone, or pyramid. We will investigate all of these. Contemporary Mat

An altitude of a prism or cylinder is a perpendicular segment joining the planes of the bases. The height of a three-dimensional figure is the length of an altitude. For a right prism, the altitude is the same as the length of a lateral side. Surface area is the total area of all faces and curved surfaces of a three-dimensional figure The lateral area of the right regular triangular prism is {eq}18 cm^2 {/eq}. Find the total surface area. (give your answer in decimal form rounded off to 2 decimal places.

How to Find the Surface Area of a Rectangular Prism: 10 Steps

Rectangular Prism Calculato

  1. Find the lateral area and the surface area of the solid. The first thing we should know is that since it's a rectangular prism, there could be 3 different pairs of bases here. To start, we'll stay that the 7 cm × 2 cm side is our base. SA = L + 2B SA = Ph + 2B. The perimeter of our base is 7 + 2 + 7 + 2, or 18 cm. The height is 13 cm
  2. Lateral Surface Area Prism. Total Surface Area Triangular Prism. Surface Area Prism Worksheet. Surface Area Triangular Prism Net. Surface Area of Triangle Prism. Prism Surface Area Formula. Find Surface Area Rectangular Prism. Volume and Surface Area of Prisms. Right Triangular Prism Surface Area. Trapezoidal Prism Surface Area. Surface Area of.
  3. Surface and Lateral Areas of Prisms and Cylinders. Vary the dimensions of a prism or cylinder and investigate how the surface area changes. Use the dynamic net of the solid to compute the lateral area and the surface area of the solid
  4. The learner will calculate the lateral surface area and total surface area of a prism. Randomize Questions Randomize Answers. Surface Area of a Right Prism. Calculate the lateral surface area of the rectangular prism shown. 1904 sq cm; 952 sq cm; 7392 sq cm; 96 sq cm; Question 1 of 10. Surface Area of a Right Prism
  5. 32% of a level stats students get a high grade at the end of the course mr medley claims that his class are smarter than average. at the end of the year 10 out of 18 students got a high grade. test at a 10% significance level whether these results support mr medley's claim
  6. Now to find the surface area of the prism, we need to get the lateral surface area and add the area of the two bases. Lateral surface area: (4 + 4 + 4 + 4) ⋅ 3 = 48 ft 2. Area of the bases: 2(4 ⋅ 4) = 32 ft 2. Total surface area: 48 ft 2 + 32 ft 2 = 80 ft
  7. Find the lateral area of the prism. 62/87,21 Find the lateral area and surface area of each prism. 62/87,21 62/87,21 The base of the prism is a right triangle with the legs 8 ft and 6 ft long. Use the Pythagorean Theorem to find the length of the hypotenuse of the base. Find the lateral and surface area. CARS Evan is buying new tire rims that.
Geometry - 17 - Prisms - Volume, Lateral Area, and Total

Lateral surface area of a rectangular prism = 2 h (l + b) Surface area of a rectangular prism = 2 (l b + b h + h l) Calculation: For the given rectangular prism, Lateral surface area = 2 h (l + b) = 2 × 8 (7 + 3) = 16 (10) = 160. Surface area = 2 (l b + b h + h l) = 2 (7 ⋅ 3 + 3 ⋅ 8 + 8 ⋅ 7) = 2 (21 + 24 + 56) = 2 (101) = 202. Conclusion. a) Lateral Area of a Rectangular Prism: A rectangular prism has 6 rectangular faces including the top and the bottom surface. Since the base of the cross-section of the prism is a rectangle, hence it is known as the Rectangular Prism. To calculate the Lateral area of a rectangular prism, we consider only the area of the 4 lateral faces and do.

Surface Area Calculato

Rectangular Prism Calculator (Cuboid

The area of the two bases of rectangular prism together is . The total surface area rectangular prism is . Step-by-step explanation: Height of the rectangular prism = h = 4 units. Length of the base of the rectangular prism = l = 6 units. Width of the base of rectangular prism = b = 5 units. Rectangular prism = Cuboid. Lateral surface area of. date Find the lateral area and total surface area of each prism. (Example 1) 1. 2. 5 ft 9 in. 4ft 2 yd 4 in. 5 in. 1 3. Akira plans to cover the box shown in contact paper. Find the amount of contact paper that Akira needs, not counting overlap. (Example 1) 4 in. 7 in. 9 in. 5.2 cm 4. A gift box is in the shape of a triangular prism

Surface Area Of A Rectangular Prism Formula (Solved Example

Lateral area of the rectangular prism, L = Perimeter of the base * Height L = 2lh + 2wh ==> L = (2* 7* 3) + (2* 4 * 3) ==> L = 42 + 24 = 66 Hence, the Lateral Area, L = 22m * 3m = 66m 2 or 66 square meters. Surface Area of a Rectangular Prism: Surface area of a rectangular prism is the surface area of all the faces of the prism As you can see in the picture above, there are six faces of a rectangular prism; two are formed with dimensions width and height, two are formed by the dimensions length and width, and two are formed by the dimensions length and height. So, if you.. Surface Area is the combined area of all two-dimensional surfaces of a shape. Just like ordinary area, the units are the squares of the units of length (that is, if a shape's sides are measured in meters, then the shape's area is measured in square meters).. A rectangular prism has six faces (flat surfaces), but they are not all identical algebra -> surface-area-> solution: find the lateral surface of a rectangular prism with a height of 6 inches and length of 14 inches and width of 7 inches.i can figure it out if its a cylindar i just don't understo log o

How to Find the Surface Area of a Rectangular Prism: 10 Step

When you're working with a rectangular prism, you'll have to the area the of 3 pairs of equal sides, which needed to be added together to determine surface area. Work on volume and surface area are differ a little when you are trying to calculate the area of a cylinder The altitude, or height, of a prism is the perpendicular distance between the two bases. And as Math Bits Notebook accurately states, in a right prism, the height is a lateral edge whereas, for an oblique prism, the height is the shortest line segment between the bases.. So what's the point? To find the surface area and volume of these three-dimensional solids Calculate the total surface area of a regular pyramid if given base perimeter, slant height and base area ( A ) : lateral surface area of a regular pyramid: = Digit 1 2 4 6 10 2) How to prove or disprove the lateral faces are ruled surfaces? Edit: as suggested below, the lateral surface area should be the same. One possible way to prove it is something like: by analysing the twist deformation on a small patch of the surface with the top edge twisted in relation the bottom edge

Formulas for calculating surface area and volume

Rectangular Prism - Definition, Types, Area and Volum

EXAMPLE 4: Find the surface area of a rectangular prism that is 12 inches long, 8 inches wide, and 4 inches high. To find the surface area, draw a net of the rectangular prism. The surface area of the prism is the area of its net. The opposite faces of a rectangular prism are congruent. In the net below, the congruent faces are the same color 9d. The surface area of the prism is 66 cm 2. Answer: 160 cm 2. Explanation: The surface area of the prism is = 2×10+2×10+2×40 = 20+20+80 = 160 cm 2. Explore Surface Area Using Nets - Page No. 607. Use the net to find the surface area of the rectangular prism. Question 1. _____ square units. Answer: 52 square units. Explanation Lateral Surface Area Triangular Prism. How to Find Surface Area of Prisms. Surface Area Rectangular Prism Net. Surface Area Rectangular Prism Answers. Surface Area Cube Prism. How Do You Find Surface Area Triangular Prism. Triangular Base Prism. 7:04. 1280 x 720 · jpeg. YouTube > Scott Giomini The surface area or the rectangular prism is the area of all 6 rectangles added together. 0 0. Arthur W. 1 decade ago. Total Area of a Rectangular Prism = 2lw + 2lh + 2wh. Lateral area=[2l+2w]h=2lh+2wh. Total area = 2lh+2wh+2lw. l=length. w=width. h=height. 0 0. Nicki H. Lv 4. 1 decade ago Build upon the knowledge of nets to find the surface area of right prisms. Pupils begin to find the area of right rectangular prisms using the net for the prism. They build upon that knowledge to find a general formula that works for all..

Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac (a, b, and c are the lengths of the 3 sides) In words, the surface area of a rectangular prism is the area of the six rectangles that cover it Rectangular Prism-Use Linking Cubes have students build a 3 x 2 x 4 right rectangular prism. Show students how to build the 3 x 2 (length x width) first, and then how to stack up 4 layers for the height. Describe surface area as the number of squares to cover all the faces. Have students count the squares Find the surface area of a rectangular prism with height . 2. centimeters, length . 5. centimeters, and width . 6. centimeters. STEP 1. Find the surface area of a right prism. Each base is a regular pentagon. The lateral area of the traffic cone is about 338.4 . square inches. ANSWER. Assignment Learning Intentions The students will solve problems involving total and lateral surface area. Success Criteria I can use a net that represents a triangular prism in each situation to assist with making connections between the lateral and total surface areas. I can explain the connections between the area of a net and the total and lateral surface area formulas of a triangular prism

Mathematics is a science that is studied through calculation of solutions using formulae. The results are then applied in decision making across board. The quiz below tests on surface area calculation of a rectangular prism. All the best In this lesson you will learn how to find the surface area of a rectangular prism by analyzing the prism's six faces, and computing their areas. Create your free account Teacher Student. Create a new teacher account for LearnZillion Find surface area of rectangular prisms From LearnZillion Created by Rachel Tabak Standards Volume of right isoceles prism = 1000 cm^3 Length = 20 cm. Area of one right triangular side = 1000/20 = 50 cm^2 1/2×a^2 = 50 => a^2 = 100 => a = 10 cm. Base or hypotenuse of right triagular sides => √(100 + 100) = 10√2 Lateral surface area => (10..

Introduction to surface area and volumeMath Plane - Lateral And Surface AreaSurface areaPrisms - MathBitsNotebook(JR)
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