WEIGHTS AND MEASURES
|
|
|
- Walter Willis
- 7 years ago
- Views:
Transcription
1 WEIGHTS AND MEASURES Tables of Weights and Measures; and other information that may be helpful to the Assessor/Appraiser. Metric Measure Millimeter = meter Centimeter = 0.01 meter Decimeter = 0.1 meter Meter = inches Kilometer = 1000 meters Kilometer = miles Meter = yards Meter = feet 1 Foot = meter 1 Foot = 3.04 centimeters 1 Inch = 2.54 centimeters Linear Measure 1 Foot = 12 inches 1 Yard = 3 feet-36 inches 1 Rod = 5½ yards-16½ feet 1 Furlong = 40 rods-220 yards-660 feet 1 Mile = 8 furlongs-320 rods-1,760 yards-5,280 feet Surveyor s Linear Measure 1 Link = 7.92 inches 1 Rod = 25 links 1 Chain = 4 rods-100 links-66 feet 1 Furlong = 10 chains 1 Mile = 8 furlong-80 chains Square Measure 1 Square Foot = 144 square inches 1 Square Yard = 9 square feet-1,296 square inches 1 Square Rod = 1 pole/perch-30¼ square yards-272¼ square feet 1 Rood = 40 square rods 1 Acre = 160 square rods-4,840 square yards-43,560 square ft 1 Square Mile = 640 acres Surveyor s Square Measure 1 Square Rod = 625 square links 1 Square Chain = 16 square rods 1 Acre = 10 square chains 1 Square Mile = 640 acres Cubic Measure 1 Cubic Foot = 1,728 cubic inches-7,481 gallons 1 Cubic Yard = 27 cubic feet 1 Cord Foot = 16 cubic feet 1 Cord of Wood = 8 cord-128 cubic feet 1 Perch of Masonry = 24¾ cubic feet 1 Bushel = cubic feet 1
2 Angles And Arcs Measure 1 Minute = 60 seconds 1 Degree = 60 minutes 1 Right Angle = 90 degrees-1 quadrant 1 Circumference = 360 degrees-4 quadrants Board Measure 1 Board Foot = Length in feet x width in feet x thickness in inches Measurement In General Use 1 Link = 7.92 inches 1 foot = 12 inches 1 yard = 3 feet or 36 inches 1 rod = 16½ feet, 5½ yards or 25 links 1 surveyor s chain = 66 feet, or 4 rods, or 100 links 1 furlong = 660 feet, or 40 rods 1 mile = 8 furlongs, 320 rods, 80 chains, or 5,280 feet 1 square rod = 272¼ square feet or 30¼ square yards 1 acre contains = 43,560 square feet 1 acre contains = 160 square rods 1 span = 9 inches 1 hand = (horse measurement) 4 inches 1 knot = (nautical) 6, feet 1 fathom = (nautical) 6 feet 1 stone = 14 pounds 1 square acre = Approximately feet on each side 1 acre = Approx 8 rods by 20 rods, or any two combinations or rods whose product is 160 SIMPLE FORMULA CONVERTING SQUARE FEET TO ACRES Multiply by 23 and point off 6 places (This method is not exact but is useful for rough calculations) Example: 1500 feet x 2050 feet = 3,075,000 square feet x 23 = acres BOARD MEASURE Multiply thickness in inches by width in inches, divide product by 12 and multiply result by the length in feet. The result is board measure content. Conversion factors for converting lineal feet of lumber into board feet. Example: 50 2 inches x 10 inches 20 feet long 50 x 20 feet = 1000 lineal feet 2 inches x 10 inches = 20 square inches divided by 12 = board feet x 1000 lineal feet equals 1,667 board feet 2
3 Table For The Conversion Of Lineal Feet Into Board Feet 2 inches x 4 inches (1 lineal foot).667 board feet 3 inches x 4 inches (1 lineal foot) board feet 2 inches x 6 inches (1 lineal foot) board feet 2 inches x 8 inches (1 lineal foot) board feet 2 inches x 10 inches (1 lineal foot) board feet 2 inches x 12 inches (1 lineal foot) board feet 2 inches x 14 inches (1 lineal foot) board feet 2 inches x 16 inches (1 lineal foot) board feet 3 inches x 6 inches (1 lineal foot) board feet 4 inches x 6 inches (1 lineal foot) board feet 4 inches x 8 inches (1 lineal foot) board feet 4 inches x 10 inches (1 lineal foot) board feet 4 inches x 12 inches (1 lineal foot) board feet 6 inches x 6 inches (1 lineal foot) board feet 6 inches x 8 inches (1 lineal foot) board feet 10 inches x 12 inches (1 lineal foot) board feet 12 inches x 12 inches (1 lineal foot) board feet PRINCIPLES PLANE FIGURE A plane surface bounded by either straight or curved lines and having no thickness. SOLID A body, such as a barrel, building, etc. SQUARE MEASURE Area calculation requiring only two dimensions, length and width. CUBIC MEASURE Cubic or cubage means volume and gives size in terms of its bulk. Calculation requires 3 dimensions, length x width x depth or height or thickness. MEASURES AND THEIR EQUIVALENTS A gallon of water (U.S. Standard) weighs 8 1/3 pounds and contains 231 cubic inches. A cubic foot of water contains 7½ gallons, 1,728 cubic inches and weighs 62½ pounds. Doubling the diameter of a pipe increases its capacity four times. To find the pressure in pounds per square inch of a column of water, multiply the height of the column in feet by.434. To find the capacity of tanks any size, given the dimensions of a cylinder in inches, to find its capacity in U.S. gallons: square the diameter, multiply by the length and by.0034 (Note: See table of tank capacities.) Rectangular tanks multiply the length by the width by the depth (All in inches) and divide the result by 231. The answer is the capacity in gallons. 3
4 31½ gallons equals one barrel. B.T.U. (British Thermal Unit) is the amount of the heat required to raise one pound of water one degree Fahrenheit. A ton of refrigeration is measured by the displacement of the amount of heat required to melt a ton of ice in 24 hours. One motor horsepower of an electrically powered unit is normally required to produce one ton of refrigeration. 12,000 B.T.U. equals one tone. Kilowatts multiplied by equal horsepower. WEIGHTS & MEASURES 1 cubic inch of Cast Iron weighs 0.26 pounds 1 cubic inch Wrought Iron weighs 0.28 pounds 1 cubic inch Water weighs pounds 1 inch of Water weighs pounds 1 United States gallon weighs 8.33 pounds 1 Imperial gallon weighs pounds 1 United States gallon equals cubic inches 1 Imperial gallon equals cubic inches 1 cubic foot of Water equals 7.48 U.S. gallons 1 gallon of water weighs 8.34 pounds 1 gallon equals.1337 cubic feet 1 gallon equals.1074 bushels 1 cubic foot equals.8032 bushels 1 barrel (oil) equals 42 gallons 1 barrel (water) equals 31.5 gallons Pressure in pounds per square inch of column of water equals.434 times the height of the column in feet. AREAS Square foot area of surface equals square of one side multiplied by factors shown. Regular Shaped Number of Sides Factor Equilateral Triangle Pentagon Hexagon Heptagon Octagon Nonagon Decagon Undecagon Dodecagon
5 TABLES For Use in Area and Content Capacity Computations Capacity of Circular Tanks Per Foot of Height in Gallons & Bushels Diameter in Square Foot Barrels (Oil) Circum. Gallons Bushels Feet Area (Oil-42 gals. Ea.) , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ,400 1, To find the capacity in barrels (oil) =Diameter squared x height. To find the capacity in gallons = Diameter squared x x height (Diameter & height in feet). 5
6 AREAS AND MEASUREMENTS To find the circumference of a circle, multiply the diameter by To find the diameter, multiply circumference by or divide circumference by To find the radius, multiply circumference by To find the side of an inscribed square, multiply the diameter by or multiply the circumference by To find the side of an equal square, multiply the diameter by or multiply the circumference by Square: A side multiplied by equals the diameter of its circumscribing circle. A side multiplied by equals the circumference of its circumscribing circle. A side multiplied by equals the diameter of an equal circle. A side multiplied by equals circumference of an equal circle. To find the area of a circle, multiply the circumference by one-quarter of the diameter or multiply the square of the diameter by or multiply the square of the circumference by or multiply the square of one-half of the diameter by To find the surface of a sphere or globe, multiply the diameter by the circumference or multiply the square of the diameter by or multiply four times the square of the radius by To find tank capacities, diameter square x.0034 = gallons per inch of height Base 42 gallons per barrel. To find area of a triangle multiply base by ½ perpendicular height. To find area of an ellipse product of both diameters x To find area of a parallelogram base x altitude. To find cu. inches in a ball multiply cube of diameter by To find cubic contents of a cone multiply area of base by one-third the altitude. Area of rectangle equals length multiplied by width. Surface of frustum of cone or pyramid equals sum of circumference of both ends x ½ slant height plus area both ends. Contents of frustum of cone or pyramid: multiply area of two ends and get square root add the two areas and time 1/3 altitude. 6
7 CONVERSION TABLES To convert bushels to tons, multiply the number of bushels by 60 and divide the product by 2000: (average maximum weight of commodities 60 pounds per bushel.) To convert gallons to bushes, divide gallons by Answer in bushels. To convert cubic measure into bushels, multiply by To find capacity of cylindrical tanks standing on end: To find the capacity in cubic feet of a round tank or cistern, multiply the square of the average diameter by the depth and multiply the product by
8 8
WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards - 16 1/2 feet
WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet - 36 inches 1 Rod 5 1/2 yards - 16 1/2 feet 1 Furlong 40 rods - 220 yards - 660 feet 1 Mile 8 furlongs - 320 rods - 1,760 yards 5,280 feet
Multiply circumference by 0.3183. Or divide circumference by 3.1416. Multiply diameter by 3.1416. Or divide diameter by 0.3183.
RULES RELATIVE TO THE CIRCLE TO FIND DIAMETER TO FIND CIRCUMFERENCE TO FIND RADIUS TO FIND SIDE OF AN INSCRIBED SQUARE TO FIND SIDE OF AN EQUAL SQUARE Multiply circumference by 0.383. Or divide circumference
Area of a triangle: The area of a triangle can be found with the following formula: You can see why this works with the following diagrams:
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 You can see why this works with the following diagrams: h h b b Solve: Find the area of
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
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST. Mathematics Reference Sheets. Copyright Statement for this Assessment and Evaluation Services Publication
FCAT FLORIDA COMPREHENSIVE ASSESSMENT TEST Mathematics Reference Sheets Copyright Statement for this Assessment and Evaluation Services Publication Authorization for reproduction of this document is hereby
Solids. Objective A: Volume of a Solids
Solids Math00 Objective A: Volume of a Solids Geometric solids are figures in space. Five common geometric solids are the rectangular solid, the sphere, the cylinder, the cone and the pyramid. A rectangular
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
Area of Parallelograms, Triangles, and Trapezoids (pages 314 318)
Area of Parallelograms, Triangles, and Trapezoids (pages 34 38) Any side of a parallelogram or triangle can be used as a base. The altitude of a parallelogram is a line segment perpendicular to the base
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
Area is a measure of how much space is occupied by a figure. 1cm 1cm
Area Area is a measure of how much space is occupied by a figure. Area is measured in square units. For example, one square centimeter (cm ) is 1cm wide and 1cm tall. 1cm 1cm A figure s area is the number
Chapter 19. Mensuration of Sphere
8 Chapter 19 19.1 Sphere: A sphere is a solid bounded by a closed surface every point of which is equidistant from a fixed point called the centre. Most familiar examples of a sphere are baseball, tennis
of surface, 569-571, 576-577, 578-581 of triangle, 548 Associative Property of addition, 12, 331 of multiplication, 18, 433
Absolute Value and arithmetic, 730-733 defined, 730 Acute angle, 477 Acute triangle, 497 Addend, 12 Addition associative property of, (see Commutative Property) carrying in, 11, 92 commutative property
Area of a triangle: The area of a triangle can be found with the following formula: 1. 2. 3. 12in
Area Review Area of a triangle: The area of a triangle can be found with the following formula: 1 A 2 bh or A bh 2 Solve: Find the area of each triangle. 1. 2. 3. 5in4in 11in 12in 9in 21in 14in 19in 13in
SA B 1 p where is the slant height of the pyramid. V 1 3 Bh. 3D Solids Pyramids and Cones. Surface Area and Volume of a Pyramid
Accelerated AAG 3D Solids Pyramids and Cones Name & Date Surface Area and Volume of a Pyramid The surface area of a regular pyramid is given by the formula SA B 1 p where is the slant height of the pyramid.
Chapter 8 Geometry We will discuss following concepts in this chapter.
Mat College Mathematics Updated on Nov 5, 009 Chapter 8 Geometry We will discuss following concepts in this chapter. Two Dimensional Geometry: Straight lines (parallel and perpendicular), Rays, Angles
Chapter 7 Quiz. (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter?
Chapter Quiz Section.1 Area and Initial Postulates (1.) Which type of unit can be used to measure the area of a region centimeter, square centimeter, or cubic centimeter? (.) TRUE or FALSE: If two plane
Cattle Producer's Library - CL 1280 CONVERSIONS FOR COMMONLY USED WEIGHTS AND MEASURES
Cattle Producer's Library - CL 1280 CONVERSIONS FOR COMMONLY USED WEIGHTS AND MEASURES Ron Torell, Northeast Area Livestock Specialist University of Nevada, Reno Bill Zollinger, Extension Beef Specialist
Shape Dictionary YR to Y6
Shape Dictionary YR to Y6 Guidance Notes The terms in this dictionary are taken from the booklet Mathematical Vocabulary produced by the National Numeracy Strategy. Children need to understand and use
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
MENSURATION. Definition
MENSURATION Definition 1. Mensuration : It is a branch of mathematics which deals with the lengths of lines, areas of surfaces and volumes of solids. 2. Plane Mensuration : It deals with the sides, perimeters
Geometry and Measurement
The student will be able to: Geometry and Measurement 1. Demonstrate an understanding of the principles of geometry and measurement and operations using measurements Use the US system of measurement for
SURFACE AREA AND VOLUME
SURFACE AREA AND VOLUME In this unit, we will learn to find the surface area and volume of the following threedimensional solids:. Prisms. Pyramids 3. Cylinders 4. Cones It is assumed that the reader has
Pizza! Pizza! Assessment
Pizza! Pizza! Assessment 1. A local pizza restaurant sends pizzas to the high school twelve to a carton. If the pizzas are one inch thick, what is the volume of the cylindrical shipping carton for the
Area of Parallelograms (pages 546 549)
A Area of Parallelograms (pages 546 549) A parallelogram is a quadrilateral with two pairs of parallel sides. The base is any one of the sides and the height is the shortest distance (the length of a perpendicular
Filling and Wrapping: Homework Examples from ACE
Filling and Wrapping: Homework Examples from ACE Investigation 1: Building Smart Boxes: Rectangular Prisms, ACE #3 Investigation 2: Polygonal Prisms, ACE #12 Investigation 3: Area and Circumference of
Area & Volume. 1. Surface Area to Volume Ratio
1 1. Surface Area to Volume Ratio Area & Volume For most cells, passage of all materials gases, food molecules, water, waste products, etc. in and out of the cell must occur through the plasma membrane.
Applications for Triangles
Not drawn to scale Applications for Triangles 1. 36 in. 40 in. 33 in. 1188 in. 2 69 in. 2 138 in. 2 1440 in. 2 2. 188 in. 2 278 in. 2 322 in. 2 none of these Find the area of a parallelogram with the given
Chapter 4: Area, Perimeter, and Volume. Geometry Assessments
Chapter 4: Area, Perimeter, and Volume Geometry Assessments Area, Perimeter, and Volume Introduction The performance tasks in this chapter focus on applying the properties of triangles and polygons to
Geometry Notes PERIMETER AND AREA
Perimeter and Area Page 1 of 57 PERIMETER AND AREA Objectives: After completing this section, you should be able to do the following: Calculate the area of given geometric figures. Calculate the perimeter
Sandia High School Geometry Second Semester FINAL EXAM. Mark the letter to the single, correct (or most accurate) answer to each problem.
Sandia High School Geometry Second Semester FINL EXM Name: Mark the letter to the single, correct (or most accurate) answer to each problem.. What is the value of in the triangle on the right?.. 6. D.
Geometry Final Exam Review Worksheet
Geometry Final xam Review Worksheet (1) Find the area of an equilateral triangle if each side is 8. (2) Given the figure to the right, is tangent at, sides as marked, find the values of x, y, and z please.
Teacher Page Key. Geometry / Day # 13 Composite Figures 45 Min.
Teacher Page Key Geometry / Day # 13 Composite Figures 45 Min. 9-1.G.1. Find the area and perimeter of a geometric figure composed of a combination of two or more rectangles, triangles, and/or semicircles
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:
Calculating Area, Perimeter and Volume
Calculating Area, Perimeter and Volume You will be given a formula table to complete your math assessment; however, we strongly recommend that you memorize the following formulae which will be used regularly
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees
Angle - a figure formed by two rays or two line segments with a common endpoint called the vertex of the angle; angles are measured in degrees Apex in a pyramid or cone, the vertex opposite the base; in
Angles that are between parallel lines, but on opposite sides of a transversal.
GLOSSARY Appendix A Appendix A: Glossary Acute Angle An angle that measures less than 90. Acute Triangle Alternate Angles A triangle that has three acute angles. Angles that are between parallel lines,
Unit 3 Practice Test. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: lass: ate: I: Unit 3 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. The radius, diameter, or circumference of a circle is given. Find
2. Complete the table to identify the effect tripling the radius of a cylinder s base has on its volume. Cylinder Height (cm) h
Name: Period: Date: K. Williams ID: A 8th Grade Chapter 14 TEST REVIEW 1. Determine the volume of the cylinder. Use 3.14 for. 2. Complete the table to identify the effect tripling the radius of a cylinder
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
Basic Math for the Small Public Water Systems Operator
Basic Math for the Small Public Water Systems Operator Small Public Water Systems Technology Assistance Center Penn State Harrisburg Introduction Area In this module we will learn how to calculate the
The GED math test gives you a page of math formulas that
Math Smart 643 The GED Math Formulas The GED math test gives you a page of math formulas that you can use on the test, but just seeing the formulas doesn t do you any good. The important thing is understanding
12 Surface Area and Volume
12 Surface Area and Volume 12.1 Three-Dimensional Figures 12.2 Surface Areas of Prisms and Cylinders 12.3 Surface Areas of Pyramids and Cones 12.4 Volumes of Prisms and Cylinders 12.5 Volumes of Pyramids
CHAPTER 29 VOLUMES AND SURFACE AREAS OF COMMON SOLIDS
CHAPTER 9 VOLUMES AND SURFACE AREAS OF COMMON EXERCISE 14 Page 9 SOLIDS 1. Change a volume of 1 00 000 cm to cubic metres. 1m = 10 cm or 1cm = 10 6m 6 Hence, 1 00 000 cm = 1 00 000 10 6m = 1. m. Change
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
YOU MUST BE ABLE TO DO THE FOLLOWING PROBLEMS WITHOUT A CALCULATOR!
DETAILED SOLUTIONS AND CONCEPTS - SIMPLE GEOMETRIC FIGURES Prepared by Ingrid Stewart, Ph.D., College of Southern Nevada Please Send Questions and Comments to ingrid.stewart@csn.edu. Thank you! YOU MUST
Appendix 2 Metric Conversion Table
atmospheres bars 1.01325* atmospheres inches of mercury 29.921256 atmospheres inches of water 406.80172 atmospheres kilograms per square centimeter 1.0332275 atmospheres kilopascals 101.325* atmospheres
56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.
6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which
2006 Geometry Form A Page 1
2006 Geometry Form Page 1 1. he hypotenuse of a right triangle is 12" long, and one of the acute angles measures 30 degrees. he length of the shorter leg must be: () 4 3 inches () 6 3 inches () 5 inches
IWCF United Kingdom Branch
IWCF United Kingdom Branch Drilling Calculations Distance Learning Programme Part 2 Areas and Volumes IWCF UK Branch Distance Learning Programme - DRILLING CALCULATIONS Contents Introduction Training objectives
2nd Semester Geometry Final Exam Review
Class: Date: 2nd Semester Geometry Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The owner of an amusement park created a circular
PERIMETER AND AREA. In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures.
PERIMETER AND AREA In this unit, we will develop and apply the formulas for the perimeter and area of various two-dimensional figures. Perimeter Perimeter The perimeter of a polygon, denoted by P, is the
1. A plane passes through the apex (top point) of a cone and then through its base. What geometric figure will be formed from this intersection?
Student Name: Teacher: Date: District: Description: Miami-Dade County Public Schools Geometry Topic 7: 3-Dimensional Shapes 1. A plane passes through the apex (top point) of a cone and then through its
Grade 6 FCAT 2.0 Mathematics Sample Questions
Grade FCAT. Mathematics Sample Questions The intent of these sample test materials is to orient teachers and students to the types of questions on FCAT. tests. By using these materials, students will become
Georgia Online Formative Assessment Resource (GOFAR) AG geometry domain
AG geometry domain Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 36 ) 1. Amy drew a circle graph to represent
Calculating Area and Volume of Ponds and Tanks
SRAC Publication No. 103 Southern Regional Aquaculture Center August 1991 Calculating Area and Volume of Ponds and Tanks Michael P. Masser and John W. Jensen* Good fish farm managers must know the area
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA
MATHEMATICS FOR ENGINEERING BASIC ALGEBRA TUTORIAL 4 AREAS AND VOLUMES This is the one of a series of basic tutorials in mathematics aimed at beginners or anyone wanting to refresh themselves on fundamentals.
Show that when a circle is inscribed inside a square the diameter of the circle is the same length as the side of the square.
Week & Day Week 6 Day 1 Concept/Skill Perimeter of a square when given the radius of an inscribed circle Standard 7.MG:2.1 Use formulas routinely for finding the perimeter and area of basic twodimensional
12 Surface Area and Volume
CHAPTER 12 Surface Area and Volume Chapter Outline 12.1 EXPLORING SOLIDS 12.2 SURFACE AREA OF PRISMS AND CYLINDERS 12.3 SURFACE AREA OF PYRAMIDS AND CONES 12.4 VOLUME OF PRISMS AND CYLINDERS 12.5 VOLUME
Grade 8 FCAT 2.0 Mathematics Sample Questions
Grade FCAT. Mathematics Sample Questions The intent of these sample test materials is to orient teachers and students to the types of questions on FCAT. tests. By using these materials, students will become
Algebra Geometry Glossary. 90 angle
lgebra Geometry Glossary 1) acute angle an angle less than 90 acute angle 90 angle 2) acute triangle a triangle where all angles are less than 90 3) adjacent angles angles that share a common leg Example:
GCSE Revision Notes Mathematics. Volume and Cylinders
GCSE Revision Notes Mathematics Volume and Cylinders irevise.com 2014. All revision notes have been produced by mockness ltd for irevise.com. Email: info@irevise.com Copyrighted material. All rights reserved;
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
Perimeter. 14ft. 5ft. 11ft.
Perimeter The perimeter of a geometric figure is the distance around the figure. The perimeter could be thought of as walking around the figure while keeping track of the distance traveled. To determine
GCSE Exam Questions on Volume Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice.
Question 1. (AQA June 2003 Intermediate Paper 2 Calculator OK) A large carton contains 4 litres of orange juice. Cylindrical glasses of height 10 cm and radius 3 cm are to be filled from the carton. How
ACTIVITY: Finding a Formula Experimentally. Work with a partner. Use a paper cup that is shaped like a cone.
8. Volumes of Cones How can you find the volume of a cone? You already know how the volume of a pyramid relates to the volume of a prism. In this activity, you will discover how the volume of a cone relates
GAP CLOSING. Volume and Surface Area. Intermediate / Senior Student Book
GAP CLOSING Volume and Surface Area Intermediate / Senior Student Book Volume and Surface Area Diagnostic...3 Volumes of Prisms...6 Volumes of Cylinders...13 Surface Areas of Prisms and Cylinders...18
SURFACE AREAS AND VOLUMES
CHAPTER 1 SURFACE AREAS AND VOLUMES (A) Main Concepts and Results Cuboid whose length l, breadth b and height h (a) Volume of cuboid lbh (b) Total surface area of cuboid 2 ( lb + bh + hl ) (c) Lateral
7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide.
7 th Grade Study guide IV Partial Remember to practice the constructions that are not part of this guide. 1. Which figure shows one point? a. S R c. D C b. Q d. F G 2. Which name describes the line? G
Finding Volume of Rectangular Prisms
MA.FL.7.G.2.1 Justify and apply formulas for surface area and volume of pyramids, prisms, cylinders, and cones. MA.7.G.2.2 Use formulas to find surface areas and volume of three-dimensional composite shapes.
RAINWATER HARVESTING FOR DRYLANDS - VOLUME 1. By Brad Lancaster, 2006. Appendix 3. Water-Harvesting Calculations
RAINWATER HARVESTING FOR DRYLANDS - VOLUME 1 By Brad Lancaster, 2006 Appendix 3 Water-Harvesting Calculations List of Equations and Other Information Box A3.1. Abbreviations, Conversions, and Constants
Target To know the properties of a rectangle
Target To know the properties of a rectangle (1) A rectangle is a 3-D shape. (2) A rectangle is the same as an oblong. (3) A rectangle is a quadrilateral. (4) Rectangles have four equal sides. (5) Rectangles
Student Outcomes. Lesson Notes. Classwork. Exercises 1 3 (4 minutes)
Student Outcomes Students give an informal derivation of the relationship between the circumference and area of a circle. Students know the formula for the area of a circle and use it to solve problems.
MEASUREMENT CONVERSION CHARTS
MEASUREMENT CONVERSION CHARTS Metric - Imperial Conversions 2 Lumber Conversion Table 3 Drywalling Estimator 4 Shingle Estimator 5 Roof Pitch Sighter Card 5 Fencing Conversion Table 6 The Country Junction
Perimeter is the length of the boundary of a two dimensional figure.
Section 2.2: Perimeter and Area Perimeter is the length of the boundary of a two dimensional figure. The perimeter of a circle is called the circumference. The perimeter of any two dimensional figure whose
2. A painted 2 x 2 x 2 cube is cut into 8 unit cubes. What fraction of the total surface area of the 8 small cubes is painted?
Black Surface Area and Volume (Note: when converting between length, volume, and mass, 1 cm 3 equals 1 ml 3, and 1 ml 3 equals 1 gram) 1. A rectangular container, 25 cm long, 18 cm wide, and 10 cm high,
Postulate 17 The area of a square is the square of the length of a. Postulate 18 If two figures are congruent, then they have the same.
Chapter 11: Areas of Plane Figures (page 422) 11-1: Areas of Rectangles (page 423) Rectangle Rectangular Region Area is measured in units. Postulate 17 The area of a square is the square of the length
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
SJO PW - Język angielski ogólnotechniczny, Poziom B2 Opracowanie: I. Zamecznik, M. Witczak, H. Maniecka, A. Hilgier,
GEOMETRY AND MEASUREMENT - Teacher s notes and key to tasks Introduction (5 minutes one week before the actual LESSON): 1. Elicit vocabulary connected with geometric figures ask the students (SS) to look
Area and Circumference
4.4 Area and Circumference 4.4 OBJECTIVES 1. Use p to find the circumference of a circle 2. Use p to find the area of a circle 3. Find the area of a parallelogram 4. Find the area of a triangle 5. Convert
Pump Formulas Imperial and SI Units
Pump Formulas Imperial and Pressure to Head H = head, ft P = pressure, psi H = head, m P = pressure, bar Mass Flow to Volumetric Flow ṁ = mass flow, lbm/h ρ = fluid density, lbm/ft 3 ṁ = mass flow, kg/h
Area. Area Overview. Define: Area:
Define: Area: Area Overview Kite: Parallelogram: Rectangle: Rhombus: Square: Trapezoid: Postulates/Theorems: Every closed region has an area. If closed figures are congruent, then their areas are equal.
Surface Area Quick Review: CH 5
I hope you had an exceptional Christmas Break.. Now it's time to learn some more math!! :) Surface Area Quick Review: CH 5 Find the surface area of each of these shapes: 8 cm 12 cm 4cm 11 cm 7 cm Find
Quick Reference ebook
This file is distributed FREE OF CHARGE by the publisher Quick Reference Handbooks and the author. Quick Reference ebook Click on Contents or Index in the left panel to locate a topic. The math facts listed
Determining the Area and Volume of Your Pond
Determining the Area and Volume of Your Pond Michael A. Davis, Ph.D. UF/IFAS Baker County Extension Service Tim Wilson, M.S. UF/IFAS Bradford County Extension Service Basil Bactawar, M.S. UF/IFAS Union
Math 5th grade. Create your own number and explain how to use expanded form to show place value to the ten millions place.
Number Properties and Operations Whole number sense and addition and subtraction are key concepts and skills developed in early childhood. Students build on their number sense and counting sense to develop
Practice Tests Answer Keys
Practice Tests Answer Keys COURSE OUTLINE: Module # Name Practice Test included Module 1: Basic Math Refresher Module 2: Fractions, Decimals and Percents Module 3: Measurement Conversions Module 4: Linear,
PAVER JOB INFORMATION SHEET
PAVER JOB INFORMATION SHEET JOB SITE ADDRESS: Phone # Scheduled Date Directions JOB # OWNERS NAME (S): Phone # (h) (w) GENERAL CONTRACTOR: Contact Phone ARCHITECT: Contact Phone PLANS: Specs Date Pages
CHAPTER 8, GEOMETRY. 4. A circular cylinder has a circumference of 33 in. Use 22 as the approximate value of π and find the radius of this cylinder.
TEST A CHAPTER 8, GEOMETRY 1. A rectangular plot of ground is to be enclosed with 180 yd of fencing. If the plot is twice as long as it is wide, what are its dimensions? 2. A 4 cm by 6 cm rectangle has
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
I Gotta Know What? A Math Tutorial For Prospective CPO Students. FR = FA times FMR or FR = FA x FMR Volume (V)gallons = Volume (V)cubic feet x 7.
olume (V) = Area (A) x Average Depth (AD) I Gotta Know What? FR = FA times FMR or FR = FA x FMR Volume (V)gallons = Volume (V)cubic feet x 7.5 A = L x W A Math Tutorial For Prospective CPO Students AD
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
VOLUME AND SURFACE AREAS OF SOLIDS
VOLUME AND SURFACE AREAS OF SOLIDS Q.1. Find the total surface area and volume of a rectangular solid (cuboid) measuring 1 m by 50 cm by 0.5 m. 50 1 Ans. Length of cuboid l = 1 m, Breadth of cuboid, b
Assessment For The California Mathematics Standards Grade 3
Introduction: Summary of Goals GRADE THREE By the end of grade three, students deepen their understanding of place value and their understanding of and skill with addition, subtraction, multiplication,
1. Kyle stacks 30 sheets of paper as shown to the right. Each sheet weighs about 5 g. How can you find the weight of the whole stack?
Prisms and Cylinders Answer Key Vocabulary: cylinder, height (of a cylinder or prism), prism, volume Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Santa Monica College COMPASS Geometry Sample Test MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the area of the shaded region. 1) 5 yd 6 yd
CCGPS UNIT 3 Semester 1 ANALYTIC GEOMETRY Page 1 of 32. Circles and Volumes Name:
GPS UNIT 3 Semester 1 NLYTI GEOMETRY Page 1 of 3 ircles and Volumes Name: ate: Understand and apply theorems about circles M9-1.G..1 Prove that all circles are similar. M9-1.G.. Identify and describe relationships
Geometry Unit 6 Areas and Perimeters
Geometry Unit 6 Areas and Perimeters Name Lesson 8.1: Areas of Rectangle (and Square) and Parallelograms How do we measure areas? Area is measured in square units. The type of the square unit you choose
Platonic Solids. Some solids have curved surfaces or a mix of curved and flat surfaces (so they aren't polyhedra). Examples:
Solid Geometry Solid Geometry is the geometry of three-dimensional space, the kind of space we live in. Three Dimensions It is called three-dimensional or 3D because there are three dimensions: width,
MATH 100 PRACTICE FINAL EXAM
MATH 100 PRACTICE FINAL EXAM Lecture Version Name: ID Number: Instructor: Section: Do not open this booklet until told to do so! On the separate answer sheet, fill in your name and identification number
ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers Basic Math 1.2 - The Number Line Basic Math 1.3 - Addition of Whole Numbers, Part I
ModuMath Basic Math Basic Math 1.1 - Naming Whole Numbers 1) Read whole numbers. 2) Write whole numbers in words. 3) Change whole numbers stated in words into decimal numeral form. 4) Write numerals in