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A city planner is drawing a map of the community park. The park spans 320 feet along the main street of the city. The city planner needs to represent this park accurately drawn to a scale of 2 cm:10 feet. How long in should the drawing of the park be on the map?
::城市规划员正在绘制社区公园的地图。 公园横跨城市主要街道320英尺。 城市规划员需要准确代表这个公园, 比例为2厘米: 10英尺。 公园的绘图应该在地图上多久?In this concept, you will learn how to determine scale dimensions when given actual dimensions.
::在这个概念中,在给定实际维度时,你们将学会如何确定比额表维度。Scale Dimensions
::缩放尺寸Scales are used in math to represent larger objects on maps or diagrams. You may have learned how to take a scale and determine the actual size of a large object. On the other hand, you can determine the size of the smaller representation when given and scale and the size of the actual objects being measures.
::在数学中,比例尺用于在地图或图表中代表更大的对象。您可能已经学会了如何使用比例尺和确定一个大对象的实际大小。另一方面,您可以根据给定和比例尺来决定较小对象的大小,以及实际测量对象的大小。To make a map, for instance, you “shrink” actual distances down to a smaller size that can be shown on a piece of paper. A scale is used, but instead of solving for the actual distance, you solve for the map distance (the smaller representation).
::要绘制地图, 例如, 您“ 缩小” 实际距离到一个小的大小, 可以在一张纸上显示。 使用一个比例尺, 而不是解决实际距离, 而是解决地图距离( 较小代表符) 。Suppose you are making a map of some nearby towns. City A and City B are 350 kilometers apart in real distance. The scale for the map is 1 cm : 10 km. How far apart would City A and City B be on the map drawn to scale?
::假设您正在绘制附近城镇的地图。 城市 A 和城市 B 相距350公里, 距离真远。 地图的尺码是 1 cm : 10 公里。 在绘制比例尺的地图上, 城市 A 和城市 B 相距多远 ?The scale is used to write ratios that make a proportion. Then, the given information is filled in. The actual distance between the two towns is given, so that information is plugged into the proportion and the map distance is what is being solved for.
::比例尺用于写出比例比。 然后, 输入给定的信息。 给出两个城镇之间的实际距离, 从而将信息插入比例, 地图距离是正在解答的 。Cross multiply to find the number of centimeters that would need to be drawn on the map.
::交叉乘以在地图上找到需要绘制的厘米数。The answer is 35 cm.
::答案是35厘米The scale was used to determine that City A and City B should be drawn 35 cm apart on the map to represent the actual 350 km apart in real life.
::比例尺用来确定A市和B市在地图上应相距35厘米,以代表实际生活中的实际相距350公里。This concept can be applied to finding the scale of smaller representations of objects too.
::这一概念也可以用于确定物体较小表示规模的规模。Jesse wants to build a model of a building. The building is 100 feet tall. If Jesse wants to use a scale of 1” : 25 feet, how tall will his model be?
::Jesse想建一座建筑的模型。这栋建筑有100英尺高。如果Jesse想使用1尺的尺码,“:25英尺,他的尺码多高?”Start by looking at the scale and write a proportion to show the measurements that we know.
::首先看比例尺,然后写一个比例 来显示我们所知道的测量结果。To solve this proportion, cross multiply.
::要解决这个比例, 交叉乘法 。Jesse’s model will be 4 inches tall.
::Jesse的模型将高4英寸。The answer is .
::答案是4点++++ 。Examples
::实例Example 1
::例1Earlier, you were given a problem about the city planner drawing the map of the community park.
::早些时候,你遇到了一个问题 城市规划师绘制了社区公园的地图。The scale is 2 cm:10 feet and the actual length of the park is 320 feet along the main street. The city planner needs to use ratios and proportions to solve for the scaled down dimension of the park to be drawn on the map.
::比例尺为2厘米:10英尺,公园的实际长度沿主要街道为320英尺,城市规划人员需要使用比例和比例来解决地图上拟绘制的公园规模缩小的尺寸。First, the city planner sets up a proportion using the given information.
::首先,城市规划人员利用所提供的信息确定比例。Next, he cross multiplies the equation to be able to solve for the missing information.
::其次,他将方程式乘以倍数 才能解答丢失的信息Then, the city planner isolates the variable to solve for the scale size of the park on the map.
::然后,城市规划员分离了 地图上公园大小的变量 来解答这个变量The answer is 64 cm. The city planner will draw the park to be 64 cm long to accurately represent the scale on the map.
::答案是64厘米。 城市规划者将绘制公园的长度为64厘米, 以准确代表地图上的比重 。Example 2
::例2Find the scale size in inches of an object that is 480 ft tall when the scale is 1" : 10 ft.
::查找比例尺大小, 以对象的英寸表示, 当比例尺为 1 时该对象的大小为 480 英尺高, ” : 10 英尺高 。First, write the proportion.
::首先,写比例。Next, cross multiply to solve for the missing information.
::下一步,交叉倍数解答缺失的信息。Then, solve for x by isolating the variable
::然后,通过孤立变量解决 x 的 x 问题The answer is 48 inches. The object that is actually 480 feet tall would be represented in a 48 inch model to scale.
::答案是48英寸。实际为480英尺高的物体将用48英寸的模型表示。Use the scale 1" = 100 miles to solve the following examples.
::使用比例尺 1" = 100英里 来解析以下示例 。Example 3
::例3The distance from Kara's home to the family summer house is 150 miles. How many inches is that on the map?
::从Kara的家到家庭夏令营的距离是150英里,地图上有几英寸?First, write the proportion.
::首先,写比例。Next, cross multiply.
::下一个,交叉乘数。Then, isolate the variable "x" to solve the problem.
::然后将变量“x”分离出来解决问题。The answer is 1.5 inches
::答案是1.5英寸Example 4
::例4The distance from Kara's home to her Grandmother's home is 2000 miles. How many inches is that on the map?
::从Kara的家到她祖母家的距离是2000英里,地图上有几英寸?First, write the proportion.
::首先,写比例。Next, cross multiply.
::下一个,交叉乘数。Then, isolate the variable to solve.
::然后将变量分离出来解决。The answer is 20 inches.
::答案是20英寸Example 5
::例5If the distance from Mark's home to Kara's is 40 miles, how many inches is that on the map?
::如果从马克家到卡拉家的距离是40英里 那地图上是多少英寸?First, write the proportion.
::首先,写比例。Next, cross multiply.
::下一个,交叉乘数。Then, isolate the variable to solve.
::然后将变量分离出来解决。The answer is .4 inches.
::答案是4英寸Review
::回顾Use the given scale to determine the scale measurement given the actual distance.
::根据实际距离,使用给定的尺度确定尺度测量。Given Scale 2” = 150 miles
::规模2 " =150英里-
How many scale inches would 300 miles be?
::300英里的大小是多少英寸? -
How many scale inches would 450 miles be?
::450英里的大小是多少? -
How many scale inches would 75 miles be?
::75英里的大小是多少英寸? -
How many scale inches would 600 miles be?
::600英里的大小是多少? -
How many scale inches would 900 miles be?
::900英里的大小是多少英寸?
Use the given scale to determine the scale measurement for the following dimensions.
::使用给定的尺度确定以下维度的尺度测量。Given Scale 1” = 1 foot
::比例尺1”=1英尺-
What is the scale measurement for a room that is 8’
12’?
::一个8 ' ×12 ' 的房间的尺度计量是多少? -
What is the scale measurement for a tree that is 1 yard high?
::一码高的一棵树的尺度测量是多少? -
What is the scale measurement for a tower that is 36 feet high?
::一座36英尺高的塔的测量尺度是多少? -
How many feet is that?
::有多长脚? -
What is the scale measurement for a room that is
?
::12 × 16 1 2 的房房规模测量是多少?
Use what you have learned about scale and measurement to answer each of the following questions.
::使用你所学到的关于规模和测量的知识回答以下每一个问题。-
Joaquin is building the model of a tower. He is going to use a scale of 1” = 1 foot. How big will his tower be in inches if the actual tower if 480 feet tall?
::Joaquin正在建造一座塔的模型,他将使用1”=1英尺的尺码。如果实际的480英尺高的塔,他的塔将有多大? -
How many feet high will the model be?
::这个模型能高几英尺? -
Is this a realistic scale for this model? Why or why not?
::这是这个模式的现实规模吗?为什么或为什么? -
If Joaquin decided to use a scale that was
for every 1 foot, how many feet high would his model be?
::如果华金决定使用每1英尺14英寸的尺码, 那么他的模型会有多高? -
What scale would Joaquin need to use if he wanted his model to be 5 feet tall?
::如果华金想要他的模特身高5英尺高 需要用什么比例? -
How tall would the model be if Joaquin decided to use
foot?
::如果华金决定使用116 = 1英尺,模型会有多高?
Review (Answers)
::回顾(答复)Click to see the answer key or go to the Table of Contents and click on the Answer Key under the 'Other Versions' option.
::单击可查看答题键, 或转到目录中, 单击“ 其他版本” 选项下的答题键 。Resources
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How many scale inches would 300 miles be?