(Re)Learning The Basics Feet and Inches Perimeter Area Volume Proportions.

(Re)Learning The Basics

• Feet and Inches

• Perimeter

• Area

• Volume

• Proportions

WHY IS THIS IMPORTANT?

Units of Measure

• “Customary” – US only, used in architecture

• Metric – Global, also sometimes used in US for engineering

http://serc.carleton.edu/images/quantskills/methods/meterstick.jpg

Measuring Vocabulary

• Customary– Inch, Foot (=12 inches), Yard (=3 Feet), Mile

(=5280 Feet)– Measures less than one inch are in fractions ½,

¼, 1/8, 1/16, 1/32. 1/64

• Metric– Meter, Kilometer (1000 meters)– Less than one meter:

• Decimeter (1/10), Centimeter (1/100), Millimeter (1/1000), etc.

Activity (Part 1: To Be Handed In)

• Add 10’6” and 4’9”

• Subtract 2’ 8” from 13’

• How many inches in a mile

• How many yards in a mile

• How many inches in a 1.5 yards

Perimeter of a rectangle• From math, perimeterof a rectangle is:

– 2 x length + 2 x width– Ex. A room with l = 10’ and w = 12’ has

perimeter of 44’• What is the perimeter of a room with

dimensions:– 11’4” x 10’8”– 8’3” x 12’7”– 120’3” x 70’5’

Perimeter of an Arbitrary Figure

• Perimeter is the sum of the side lengths

• Ex: Side lengths clockwise from point A are 4’5”, 1’5”, 8”, 1’5”, 5’1”, 3’9”. What is perimeter?

• What if each side is halved?

A

Area of a Rectangle• From math, area of a rectangle is:

– length x width– Ex. A room with l = 10 and w = 12 has Area =

120• Converting feet/inches to decimal feet:

– 12’5” = 12 + 5/12 feet = 12.42 feet =12.42’• General calculation of area of a room

– Ex. A room with l = 12’5” and width = 10’2” has area of (12+5/12) x (10+2/12) = 126.24 square feet

Volume of a Rectangular Solid• From math, volume of a rectangular solid is:

– length x width x height– Ex. A room with l = 10 and w = 12 and 8 foot

ceilings has a volume of 10 x 12 x 8 = 960 cubic feet

– Ex. A room with l = 12’2” and w = 10’ 4” and 9 foot ceilings has a volume of (12+2/12) x (10 + 4/12) x 9 = 1131.5 cubic feet

• Common decimals to know:

• 3” = ¼ foot = .25 feet, 4”, 6”, 8”, 9”

Practice

• What are the fractional and decimal equivalents of 3”, 6”, 9”, 4”, 8”

• Find the perimeters of the following rooms– L = 10, w = 10– L = 8’6”, w = 12’ 6”– L = 17’2”, w = 19’5”

• Find the area of each if these rooms

• Find the volumes of the above rooms at ceiling heights of 8’6”, 9’, and 10’

Ratios

• Compares/converts one unit of measure to another:– Ex: a map, 1” equals one mile then ratio is

1”/1 mile or 1mile/1” or 1”:1 mile or 1 mile: 1”– Ex: Busses required for the band…– Ex: Computers per student in our class

Practice

• Convert from 10 feet to inches using a proportion to convert, show work

• Convert 10 inches to cm using the conversion factor of 2.54 cm/inch

How to read an Architect’s Scale

UNT in partnership with TEA. Copyright ©. All rights reserved.

What is an Architect’s scale?


A triangular shaped instrument used for making or measuring scaled drawings such

as blueprints or floor plans.


Scales can be made of wood, plastic, or aluminum.


The scale can be read from left to right and right to left.

1/8” scale would be read from left to right and the ¼” scale would be read from right to left.

What does “drawn to scale” mean?


For example, one-fourth inch (¼”) on the plan may represent one foot (1’) in the real world.

On a scaled drawing, a small measurement is used to represent a large measurement.

One word…..Two different meanings


2. The unit of measurement that plans are proportionally drawn to

¼ ” = 1’

1. The actual instrument used for drawing and measuring


Commercial buildings may be drawn at 1/8” = 1’ if they are too large to fit on the desired sheet size at ¼” = 1’.

Floor plans for residential structures are usually drawn at ¼” = 1’.

Step 1Determine the drawing scale.

Example 1



Example 2




Example 3

Step 2Find the matching number on the architect’s

scale.


Step 3Place the scale on the print. Place the mark

above the zero at the beginning of the line to be measured.


Step 4, Using the scale to draw.


To drawn your own prints, determine the length of the object to be drawn, then scale it down

accordingly using the architect’s scale.

For example, using the 1/8”= 1’ example, a wall 20 feet in length would become 20/8 inches, or 2 1/2 inches on the blueprint.

(Re)Learning The Basics Feet and Inches Perimeter Area Volume Proportions.

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