# DIMENSIONAL ANALYSIS #2

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 DIMENSIONAL ANALYSIS #2 Area is measured in square units, such as square feet or square centimeters. These units can be abbreviated as ft 2 (square feet) and cm 2 (square centimeters). For example, we might say that the area of a room is 328 ft 2. Generally, when you see a unit of measure with an exponent of 2, it is a measurement of area. Similarly, volume is measured in cubic units. The volume of a tank might be written as 200 cubic feet or 200 ft 3. Generally, when you see a unit of measure with an exponent of 3, it is a measurement of volume. The technique of dimensional analysis can be used to convert from one unit of area or volume to another unit of area or volume. However, it is important to remember that more than one dimension is being considered. EXAMPLE 1: Determine the number of square inches in 1 square foot. SOLUTION: This problem is equivalent to solving 1 ft 2 =? in. 2 To solve this problem, remember that 1 square foot means the area of a square that measures 1 foot on each side. The area of the square is A = lw = (1 ft)(1 ft) = 1 ft 2. To convert from square feet to square inches, we must consider that each of the two dimensions of the square is 1 foot, and each foot is equivalent to 12 inches. We can perform the conversion using unit fractions, but we must use the conversion factor of twice, once for each dimension of the square. So there are 144 square inches in 1 square foot. Notice that the unit fraction we used to perform the conversion had 1 foot twice in the denominator (equivalent to 1 ft 2 ) and 12 inches twice in the numerator. REMEMBER: To convert from one unit of area to another unit of area, always use the conversion factor two times. The exponent of 2 on the unit is a reminder that there are two dimensions to consider. 1

2 Performing a conversion between two different units of volume is very similar. Volume involves three dimensions and is expressed in cubic units. For example, 1 cubic meter means the volume of a cube that measures 1 meter by 1 meter by 1 meter. The volume of that cube is given by V = lwh = (1 m)(1 m)(1 m) = 1 m 3. When we perform a conversion using cubic meters, we must remember that there are three dimensions to the cube, each of which measures 1 meter. So the conversion factor must be used three times, as shown in the next example. EXAMPLE 2: Convert 15,800,000 cubic millimeters to cubic meters. SOLUTION: This problem is equivalent to solving 15,800,000 mm 3 =? m 3. We begin by writing 15,800,000 mm 3 as. Now we multiply by a unit fraction that relates mm 3 to m 3 and that has mm 3 in the denominator. From the measurement and conversion table, we know that 1 m = 1000 mm, so we write a unit fraction using the conversion factor of 1000 three times, once for each dimension. So 15,800,000 cubic millimeters is equivalent to cubic meters. The conversion we wrote above with the unit fraction relating mm 3 and m 3 can be written more briefly as shown below. or even as The important thing is to be sure to use the conversion factor three times. REMEMBER: To convert from one unit of volume to another unit of volume, always use the conversion factor three times. The exponent of 3 is a reminder that there are three dimensions to consider. 2

3 We can chain unit fractions to perform conversions with square and cubic units as we did in the earlier problems. The next example illustrates this process. EXAMPLE 3: The displacement of an engine is often measured in liters or in cubic inches. Suppose that a compact car has a 1.8 L engine. What is the displacement of this engine in cubic inches? SOLUTION: This problem is equivalent to the conversion: 1.8 L =? in. 3 Notice only the unit on the right-hand side has an exponent of 3. We can compare liters and cubic inches, however, since a liter is a measure of capacity. Remember that 1 ml = 1 cm 3. We will use this relationship to perform the conversion. First we will convert from liters to cubic centimeters by multiplying by two unit fractions. If we multiplied these fractions, liters and milliliters would cancel and we would be left with cubic centimeters. Now we must convert from cubic centimeters to cubic inches, so we multiply by a unit fraction with cubic inches in the numerator and cubic centimeters in the denominator. Multiplying these fractions together gives us the equivalent displacement in cubic inches (rounded to the nearest whole number). Therefore, the displacement of the engine in the compact car is approximately 110 cubic inches. 3

5 ANSWERS TO ODD-NUMBERED PROBLEMS: (NOTE: For some of these problems there are several ways to set up the problem. Therefore, your unit fractions may look different from the sequence of unit fractions shown here. Your final answer, however, should be approximately the same as the one given below.) Frank needs a farm of approximately 99 acres. 11. Volume = (30 ft)(40 ft)(7 ft) = 8400 ft 3 Approximately 311 cubic yards of dirt must be hauled away Area = (60 ft)(70 ft) = 4200 square feet. The area of Ann s back yard is approximately 390 square meters. 5

### DIMENSIONAL ANALYSIS #2

DIMENSIONAL ANALYSIS #2 Area is measured in square units, such as square feet or square centimeters. These units can be abbreviated as ft 2 (square feet) and cm 2 (square centimeters). For example, we

### Dimensional Analysis #3

Dimensional Analysis #3 Many units of measure consist of not just one unit but are actually mixed units. The most common examples of mixed units are ratios of two different units. Many are probably familiar

### DIMENSIONAL ANALYSIS #1

DIMENSIONAL ANALYSIS # In mathematics and in many applications, it is often necessary to convert from one unit of measurement to another. For example, 4,000 pounds of gravel =? tons of gravel. 8 square

### Section 1.7 Dimensional Analysis

Dimensional Analysis Dimensional Analysis Many times it is necessary to convert a measurement made in one unit to an equivalent measurement in another unit. Sometimes this conversion is between two units

### Dimensional Analysis is a simple method for changing from one unit of measure to another. How many yards are in 49 ft?

HFCC Math Lab NAT 05 Dimensional Analysis Dimensional Analysis is a simple method for changing from one unit of measure to another. Can you answer these questions? How many feet are in 3.5 yards? Revised

### 2) 4.6 mi to ft A) 24,288 ft B) ft C)2024 ft D) 8096 ft. 3) 78 ft to yd A) 234 yd B) 2808 yd C)26 yd D) 8.67 yd

Review questions - test 2 MULTIPLE CHOICE. Circle the letter corresponding to the correct answer. Partial credit may be earned if correct work is shown. Use dimensional analysis to convert the quantity

### Math 98 Supplement 2 LEARNING OBJECTIVE

Dimensional Analysis 1. Convert one unit of measure to another. Math 98 Supplement 2 LEARNING OBJECTIVE Often measurements are taken using different units. In order for one measurement to be compared to

### Converting Units of Measure Measurement

Converting Units of Measure Measurement Outcome (lesson objective) Given a unit of measurement, students will be able to convert it to other units of measurement and will be able to use it to solve contextual

### Unit Conversions. Ben Logan <ben.logan@gmail.com> Feb 10, 2005

Unit Conversions Ben Logan Feb 0, 2005 Abstract Conversion between different units of measurement is one of the first concepts covered at the start of a course in chemistry or physics.

### KeyTrain Level 5. For. Level 5. Published by SAI Interactive, Inc., 340 Frazier Avenue, Chattanooga, TN

Introduction For Level 5 Published by SAI Interactive, Inc., 340 Frazier Avenue, Chattanooga, TN 37405. Copyright 2000 by SAI Interactive, Inc. KeyTrain is a registered trademark of SAI Interactive, Inc.

### 2. Length, Area, and Volume

Name Date Class TEACHING RESOURCES BASIC SKILLS 2. In 1960, the scientific community decided to adopt a common system of measurement so communication among scientists would be easier. The system they agreed

### Lab 1: Units and Conversions

Lab 1: Units and Conversions The Metric System In order to measure the properties of matter, it is necessary to have a measuring system and within that system, it is necessary to define some standard dimensions,

### millimeter centimeter decimeter meter dekameter hectometer kilometer 1000 (km) 100 (cm) 10 (dm) 1 (m) 0.1 (dam) 0.01 (hm) 0.

Section 2.4 Dimensional Analysis We will need to know a few equivalencies to do the problems in this section. I will give you all equivalencies from this list that you need on the test. There is no need

### MEASUREMENTS. U.S. CUSTOMARY SYSTEM OF MEASUREMENT LENGTH The standard U.S. Customary System units of length are inch, foot, yard, and mile.

MEASUREMENTS A measurement includes a number and a unit. 3 feet 7 minutes 12 gallons Standard units of measurement have been established to simplify trade and commerce. TIME Equivalences between units

### Fractions, Ratios, and Proportions Work Sheets. Contents

Fractions, Ratios, and Proportions Work Sheets The work sheets are grouped according to math skill. Each skill is then arranged in a sequence of work sheets that build from simple to complex. Choose the

### YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!

DETAILED SOLUTIONS AND CONCEPTS - SYSTEMS OF MEASUREMENT Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST

### What is the SI system of measurement?

ALE 3. SI Units of Measure & Unit Conversions Name CHEM 161 K. Marr Team No. Section What is the SI system of measurement? The Model the International System of Units (Reference: Section 1.5 in Silberberg

### Learning Centre CONVERTING UNITS

Learning Centre CONVERTING UNITS To use this worksheet you should be comfortable with scientific notation, basic multiplication and division, moving decimal places and basic fractions. If you aren t, you

### Measurement: Converting Distances

Measurement: Converting Distances Measuring Distances Measuring distances is done by measuring length. You may use a different system to measure length differently than other places in the world. This

### Units of Measurement and Dimensional Analysis

POGIL ACTIVITY.2 POGIL ACTIVITY 2 Units of Measurement and Dimensional Analysis A. Units of Measurement- The SI System and Metric System T here are myriad units for measurement. For example, length is

### Relationships Between Quantities

Relationships Between Quantities MODULE 1? ESSENTIAL QUESTION How do you calculate when the numbers are measurements? CALIFORNIA COMMON CORE LESSON 1.1 Precision and Significant Digits N.Q.3 LESSON 1.2

### 1,892.7 ml. 4-7 Convert Between Systems. Complete. Round to the nearest hundredth if necessary in. cm SOLUTION:

Complete. Round to the nearest hundredth if necessary. 1. 5 in. cm Since 1 inch 2.54 centimeters, multiply by. So, 5 inches is approximately 12.7 centimeters. 12.7 2. 2 qt ml Since 946.35 milliliters 1

### Tallahassee Community College PERIMETER

Tallahassee Community College 47 PERIMETER The perimeter of a plane figure is the distance around it. Perimeter is measured in linear units because we are finding the total of the lengths of the sides

### MATH FOR NURSING MEASUREMENTS. Written by: Joe Witkowski and Eileen Phillips

MATH FOR NURSING MEASUREMENTS Written by: Joe Witkowski and Eileen Phillips Section 1: Introduction Quantities have many units, which can be used to measure them. The following table gives common units

### Objective To introduce a formula to calculate the area. Family Letters. Assessment Management

Area of a Circle Objective To introduce a formula to calculate the area of a circle. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment

### Measurement. Customary Units of Measure

Chapter 7 Measurement There are two main systems for measuring distance, weight, and liquid capacity. The United States and parts of the former British Empire use customary, or standard, units of measure.

### KeyTrain Competencies Level 6

KeyTrain Competencies Level 6 Reduce Fractions 20 5 = 4 24 2 = 12 2 = 6 2 = 3 25 5 = 5 40 2 = 20 2 = 10 2 = 5 OR 24 4 = 6 2 = 3 40 4 = 10 2 = 5 To reduce fractions, you must divide the top number of the

### Unit Conversions. 1liter. Imagine that we want to convert this quantity in quarts to gallons. There are 4 quarts in one gallon. Show your work below:

IDS 101 Name Unit Conversions In our everyday lives we frequently have to convert from one unit of measurement to another. When we go to the store and some rope is sold as \$.50 per foot and we want 18

### Swapping Units 1) X = = 2) X = = 3) X = = 4) X = = Name: Period: MULTIPLYING BY ONE

Name: Period: Swapping Units Swap Meet is a game about trading one thing for another. In the game, we are not trying to end up with stuff that is worth MORE than what we started with. Instead, we simply

### MEASUREMENT. Historical records indicate that the first units of length were based on people s hands, feet and arms. The measurements were:

MEASUREMENT Introduction: People created systems of measurement to address practical problems such as finding the distance between two places, finding the length, width or height of a building, finding

### 1. What does each unit represent? (a) mm = (b) m =

Metrics Review Name: Period: You will need a metric ruler and ten pennies for this activity. LENGTH 1. What does each unit represent? (a) mm = (b) m = (c) cm = (d) km = 2. How much does each one equal?

### 1. Write the ratio of two numbers in simplest form 2. Write the ratio of two quantities in simplest form

5.1 Ratios 5.1 OBJECTIVES 1. Write the ratio of two numbers in simplest form. Write the ratio of two quantities in simplest form In Chapter, you saw two meanings for a fraction: 3 1. A fraction can name

### Measurement/Volume and Surface Area Long-Term Memory Review Grade 7, Standard 3.0 Review 1

Review 1 1. Explain how to convert from a larger unit of measurement to a smaller unit of measurement. Include what operation(s) would be used to make the conversion. 2. What basic metric unit would be

### Measurement. 2. If the perimeter of a rectangular house is 44 yards, and the length is 36 feet, what is the width of the house?

Measurement 1. What will it cost to carpet a room with indoor/outdoor carpet if the room is 10 feet wide and 12 feet long? The carpet costs 12.51 per square yard. \$166.80 \$175.90 \$184.30 \$189.90 \$192.20

### How do you compare numbers? On a number line, larger numbers are to the right and smaller numbers are to the left.

The verbal answers to all of the following questions should be memorized before completion of pre-algebra. Answers that are not memorized will hinder your ability to succeed in algebra 1. Number Basics

### To Multiply Decimals

4.3 Multiplying Decimals 4.3 OBJECTIVES 1. Multiply two or more decimals 2. Use multiplication of decimals to solve application problems 3. Multiply a decimal by a power of ten 4. Use multiplication by

### Chapter 2 Measurement and Problem Solving

Introductory Chemistry, 3 rd Edition Nivaldo Tro Measurement and Problem Solving Graph of global Temperature rise in 20 th Century. Cover page Opposite page 11. Roy Kennedy Massachusetts Bay Community

### Chapter 3: The Metric System. Metric System Basic Units

: The Metric System The English system was used primarily in the British Empire and wasn t very standardized. The French organized a committee to devise a universal measuring system. After about 10 years,

### Lesson 21: Getting the Job Done Speed, Work, and Measurement Units

Lesson 2 6 Lesson 2: Getting the Job Done Speed, Work, and Measurement Student Outcomes Students use rates between measurements to convert measurement in one unit to measurement in another unit. They manipulate

### Appendix C: Conversions and Calculations

Appendix C: Conversions and Calculations Effective application of pesticides depends on many factors. One of the more important is to correctly calculate the amount of material needed. Unless you have

### One basic concept in math is that if we multiply a number by 1, the result is equal to the original number. For example,

MA 35 Lecture - Introduction to Unit Conversions Tuesday, March 24, 205. Objectives: Introduce the concept of doing algebra on units. One basic concept in math is that if we multiply a number by, the result

### CH 304K Practice Problems

1 CH 304K Practice Problems Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. How many millimeters are there in 25 feet? a. 7.6 10 2 mm b.

### Section 1.6 Systems of Measurement

Systems of Measurement Measuring Systems of numeration alone do not provide enough information to describe all the physical characteristics of objects. With numerals, we can write down how many fish we

### How do I do that unit conversion?

Name Date Period Furrey How do I do that unit conversion? There are two fundamental types of unit conversions in dimensional analysis. One is converting old units to new units with in the same system of

### MEASUREMENTS, CONVERSIONS, AND MANIPULATIONS

NAME PARTNER(S) SECTION DATE MEASUREMENTS, CONVERSIONS, AND MANIPULATIONS PRE-LAB QUERIES 1. What is the meaning of "measurement"? What are you finding out when you measure something? 2. How could you

### Rational Expressions - Dimensional Analysis

7.8 Rational Expressions - Dimensional Analysis Objective: Use dimensional analysis to preform single unit, dual unit, square unit, and cubed unit conversions. One application of rational expressions deals

### CONVERSIONS AND STATISTICS

CONVERSIONS AND STATISTICS Approximate Conversion Factors for Estimating Purposes (Compacted) Granular A, M 2.2 tonnes/m 3, 2.0 tons/yd 3 Granular B 2.1 tonnes/m 3, 1.8 tons/yd 3 3/4 Crushed Gravel (Clear)

### Dividing Decimals 4.5

4.5 Dividing Decimals 4.5 OBJECTIVES 1. Divide a decimal by a whole number 2. Divide a decimal by a decimal 3. Divide a decimal by a power of ten 4. Apply division to the solution of an application problem

### Measurements. ESSENTIAL QUESTION How do you convert units within a measurement system? 6.4.H

LESSON 8.4 Converting Measurements Proportionality Convert units within a measurement system, including the use of proportions and unit rates.? ESSENTIAL QUESTION How do you convert units within a measurement

### USEFUL RELATIONSHIPS

Use the chart below for the homework problems in this section. USEFUL RELATIONSHIPS U.S. Customary 12 in. = 1 ft 3 ft = 1 yd 280 ft = 1 mi 16 oz = 1 lb 2000 lbs = 1 T 8 fl oz = 1 c 2 c = 1 pt 2 pts = 1

### Metric System. The tables above lists the most common metric prefixes and their relationship to the central unit that has no prefix.

Metric System Many properties of matter are quantitative; that is, they are associated with numbers. When a number represents a measured quantity, the unit of that quantity must always be specified. To

### 2. In the diagram shown, how much more water can be poured into the container before it overflows?

Blue Surface Area and Volume (Note: 1 cubic centimeter = 1 milliliter) 1. The container shown is filled with water to a depth of 9 cm. How much water is it holding? 17 cm 12 cm 10 cm 12 cm 18 cm 10 cm

### Basic Garden Math. This document is organized into the following sections:

Basic Garden Math Gardening is an activity which occasionally requires the use of math, such as when you are computing how much fertilizer to use or how much compost to buy. Luckily, the math involved

### 2.2 Scientific Notation: Writing Large and Small Numbers

2.2 Scientific Notation: Writing Large and Small Numbers A number written in scientific notation has two parts. A decimal part: a number that is between 1 and 10. An exponential part: 10 raised to an exponent,

### 18) 6 3 4 21) 1 1 2 22) 7 1 2 23) 19 1 2 25) 1 1 4. 27) 6 3 qt to cups 30) 5 1 2. 32) 3 5 gal to pints. 33) 24 1 qt to cups

Math 081 Chapter 07 Practice Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 18) 6 3 4 gal to quarts Convert as indicated. 1) 72 in. to feet 19)

### 1. Metric system- developed in Europe (France) in 1700's, offered as an alternative to the British or English system of measurement.

GS104 Basics Review of Math I. MATHEMATICS REVIEW A. Decimal Fractions, basics and definitions 1. Decimal Fractions - a fraction whose deonominator is 10 or some multiple of 10 such as 100, 1000, 10000,

### Solving Geometric Applications

1.8 Solving Geometric Applications 1.8 OBJECTIVES 1. Find a perimeter 2. Solve applications that involve perimeter 3. Find the area of a rectangular figure 4. Apply area formulas 5. Apply volume formulas

### Study Guide and Intervention

Study Guide and Intervention Geometry: Circles and Circumference A circle is the set of all points in a plane that are the same distance from a given point, called the center. The diameter d is the distance

### Handout Unit Conversions (Dimensional Analysis)

Handout Unit Conversions (Dimensional Analysis) The Metric System had its beginnings back in 670 by a mathematician called Gabriel Mouton. The modern version, (since 960) is correctly called "International

### Homework 1: Exercise 1 Metric - English Conversion [based on the Chauffe & Jefferies (2007)]

MAR 110 HW 1: Exercise 1 Conversions p. 1 1-1. THE METRIC SYSTEM Homework 1: Exercise 1 Metric - English Conversion [based on the Chauffe & Jefferies (2007)] The French developed the metric system during

### EXAMPLE EXERCISE 2.1 Uncertainty in Measurement

EXAMPLE EXERCISE 2.1 Uncertainty in Measurement Which measurements are consistent with the metric rulers shown in Figure 2.2? (a) Ruler A: 2 cm, 2.0 cm, 2.05 cm, 2.5 cm, 2.50 cm (b) Ruler B: 3.0 cm, 3.3

### Grade 11 Essential Mathematics Unit 6: Measurement and Geometry

Grade 11 Essential Mathematics Unit 6: INTRODUCTION When people first began to take measurements, they would use parts of the hands and arms. For example, a digit was the width of a thumb. This kind of

### VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region.

Math 6 NOTES 7.5 Name VOLUME of Rectangular Prisms Volume is the measure of occupied by a solid region. **The formula for the volume of a rectangular prism is:** l = length w = width h = height Study Tip:

### Perimeter, Area, and Volume

Perimeter, Area, and Volume Perimeter of Common Geometric Figures The perimeter of a geometric figure is defined as the distance around the outside of the figure. Perimeter is calculated by adding all

### Unit Conversion Dimensional Analysis

Chemistry 210 Unit Conversion Dimensional Analysis T.J. Reinert It is often necessary to convert a measurement from one system of units to another, particularly for citizens and residents of the United

### 1 GRAM = HOW MANY MILLIGRAMS?

1 GRAM = HOW MANY MILLIGRAMS? (1) Take the 1-gram expression and place the decimal point in the proper place. 1 gram is the same as 1.0 gram (decimal point in place) (2) Move that decimal point three places

### Chapter 8. Chapter 8 Opener. Section 8.1. Big Ideas Math Green Worked-Out Solutions. Try It Yourself (p. 353) Number of cubes: 7

Chapter 8 Opener Try It Yourself (p. 5). The figure is a square.. The figure is a rectangle.. The figure is a trapezoid. g. Number cubes: 7. a. Sample answer: 4. There are 5 6 0 unit cubes in each layer.

### Conversion Formulas and Tables

Conversion Formulas and Tables Metric to English, Introduction Most of the world, with the exception of the USA, uses the metric system of measurements exclusively. In the USA there are many people that

### INTRODUCTORY CHEMISTRY Concepts and Critical Thinking Seventh Edition by Charles H. Corwin

Lecture INTRODUCTORY CHEMISTRY Concepts and Critical Thinking Seventh Edition by Charles H. Corwin The Metric System by Christopher G. Hamaker Illinois State University Content 1. The metric and English

### Page 2 6. A semicircular trough is shown. If x = 5 m and y = 1 m, how many cubic meters of fluid will this trough hold? 7. In the diagram, the base of

Accerlerated Geometry Name In Class Practice: Area/Volume Per/Sec. Date (1.) Show work for credit. (2.) Leave solution in exact form unless otherwise stated. (3.) Provide the correct UNITS on all solutions.

### Smaller Units. Larger Units

UNITS OF LENGTH: CUSTOMARY & METRIC (5 TH GRADE) TEACHER GUIDE Objective: The student will be able to use their knowledge of the standardized mathematics exam chart and their multiplication/division skills

### Significant figures. Significant figures. Rounding off numbers. How many significant figures in these measurements? inches. 4.

Significant figures All non-zero numbers are always significant 2.38 has three significant figures 25 has two significant figures Are zeros significant? It depends on their position in the number. A zero

### Sample Exercise 1.1 Distinguishing Among Elements, Compounds, and Mixtures

Sample Exercise 1.1 Distinguishing Among Elements, Compounds, and Mixtures White gold, used in jewelry, contains gold and another white metal such as palladium. Two different samples of white gold differ

### LESSON 9 UNITS & CONVERSIONS

LESSON 9 UNITS & CONVERSIONS INTRODUCTION U.S. units of measure are used every day in many ways. In the United States, when you fill up your car with gallons of gas, drive a certain number of miles to

### Geometry Notes VOLUME AND SURFACE AREA

Volume and Surface Area Page 1 of 19 VOLUME AND SURFACE AREA Objectives: After completing this section, you should be able to do the following: Calculate the volume of given geometric figures. Calculate

### Lesson 1.3 Relating SI and Imperial Units Exercises (pages 22 23) Divide by 1000 to convert metres to kilometres.

Lesson.3 Relating SI and Imperial Units Exercises (pages 22 23) A Answers will vary, depending on the conversion ratios used. 4. a) in. = 2.54 cm So, 6 in. = 6(2.54 cm) 6 in. = 40.64 cm 6 in. 40.6 cm b)

### Using English and Metric Measurements

Lesson B3 1 Using English and Metric Measurements Unit B. Employability in Agricultural/Horticultural Industry Problem Area 3. Using Mathematics Skills Lesson 1. Using English and Metric Measurements New

### 1 foot (ft) = 12 inches (in) 1 yard (yd) = 3 feet (ft) 1 mile (mi) = 5280 feet (ft) Replace 1 with 1 ft/12 in. 1ft

2 MODULE 6. GEOMETRY AND UNIT CONVERSION 6a Applications The most common units of length in the American system are inch, foot, yard, and mile. Converting from one unit of length to another is a requisite

### Springshed Management Training Curriculum The Springs Initiative

Springshed Management Training Curriculum 2016 The Springs Initiative SESSION TITLE: Spring Management: Units & Conversions SECTION: Application of Knowledge MODULE: Survey & Monitoring AUTHORS: Arghyam

### 3.2 Converting Measurements

1 3.2 Converting Measurements We need to be able to convert metric measurements to larger or smaller metric measurements. In addition, since we live close to the United States we need to know how to convert

### Applications of Ratios and Proportions

Applications of Ratios and Proportions Connections Have you ever... Needed to convert a measurement from inches to feet? Calculated the unit price of something sold by the case? Tried to plan the amount

### Characteristics of the Four Main Geometrical Figures

Math 40 9.7 & 9.8: The Big Four Square, Rectangle, Triangle, Circle Pre Algebra We will be focusing our attention on the formulas for the area and perimeter of a square, rectangle, triangle, and a circle.

### Activity Standard and Metric Measuring

Activity 1.3.2 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

### Unit 6 Measurement and Data: Area and Volume

Unit 6 Measurement and Data: Area and Volume Introduction In this unit, students will learn about area and volume. As they find the areas of rectangles and shapes made from rectangles, students will need

### Chapter 3. Length, Area, and Volume

1 Chapter 3 Length, Area, and Volume 3.1 Systems of Measurement 3.2 Converting Measurements 3.3 Surface Area 3.4 Volume 34 Name: 2 3 3.1 Systems of Measurement In Canada we use systems of measurement:

### 21.2 Volume of Pyramids

Name lass ate 21.2 Volume of Pyramids Essential Question: How do you find the volume of a pyramid? Explore eveloping a Volume Formula You can think of irregular pyramids as parts of a rectangular prism.

### 12-8 Congruent and Similar Solids

Determine whether each pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor. 3. Two similar cylinders have radii of 15 inches and 6 inches. What is the ratio

### APPENDIX H CONVERSION FACTORS

APPENDIX H CONVERSION FACTORS A ampere American Association of State AASHTO Highway & Transportation Officials ABS (%) Percent of Absorbed Moisture Abs. Vol. Absolute Volume ACI American Concrete Institute

### Numbers in Science Exploring Measurements, Significant Digits, and Dimensional Analysis

Numbers in Science Exploring Measurements, Significant Digits, and Dimensional Analysis OBJECTIVE Students will be introduced to correct measurement techniques, correct use of significant digits, and dimensional

### Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms.

Volume of Rectangular Prisms Objective To provide experiences with using a formula for the volume of rectangular prisms. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts

### B = 1 14 12 = 84 in2. Since h = 20 in then the total volume is. V = 84 20 = 1680 in 3

45 Volume Surface area measures the area of the two-dimensional boundary of a threedimensional figure; it is the area of the outside surface of a solid. Volume, on the other hand, is a measure of the space

### Perimeter, Area, and Volume

Perimeter is a measurement of length. It is the distance around something. We use perimeter when building a fence around a yard or any place that needs to be enclosed. In that case, we would measure the

### Project: Dimensional Analysis

Project: Dimensional Analysis How big do you think one of the blocks that make up the Cheops Pyramid at Giza is? This question actually came up in conversation with some friends at our house a few years

### Lesson 17 ~ Volume of Prisms

Lesson 17 ~ Volume of Prisms 1. An octagonal swimming pool has a base area of 42 square meters. The pool is 3 feet deep. Find the volume of the pool. 2. A fish aquarium is a rectangular prism. It is 18

### Activity Standard and Metric Measuring

Activity 1.3.1 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

### Free Pre-Algebra Lesson 3 page 1. Example: Find the perimeter of each figure. Assume measurements are in centimeters.

Free Pre-Algebra Lesson 3 page 1 Lesson 3 Perimeter and Area Enclose a flat space; say with a fence or wall. The length of the fence (how far you walk around the edge) is the perimeter, and the measure

### Chapter 1: Measuring Up

Chapter : Measuring Up Chapter : Measuring Up Introduction If you haven t yet read the introduction to this book (pp. iii-x), please do so now. Chemistry is the study of matter and how it changes. When

### Strategy: Multiply the given number by conversion factors to obtain the desired units m

Homework 1 Solutions 2. Picture the Problem: This is simply a units conversion problem. Strategy: Multiply the given number by conversion factors to obtain the desired units. Solution: (a) Convert the