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Scale Drawings. Cornell Notes with Summary Essential Question: Do architects use the same scale factor for each room when designing a house? Why or why not?. Scale Drawing/Scale Models.
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Scale Drawings • Cornell Notes with Summary • Essential Question: Do architects use the same scale factor for each room when designing a house? Why or why not?
Scale Drawing/Scale Models • Scale Drawings & Models are used to represent objects that are too large or too small to be drawn or built at actual size • Examples: • RC Cars, Atlas, Insects… others?
Scale • Gives the ratio that compares the measurements of the drawing or model to the measurements of the real object. • They are proportional. • ex. – map scale
You try it… • Find the actual distance if the map scale is 4 inches = 30 miles • 2 inches = x = 15 miles
How can you use this? • A scale drawing of a rectangular room has a length of 6 inches and a width of 4 inches. The drawing uses a scale of one inch to three feet. 1. How many square feet is the room? 2. How much will it cost to carpet the room if carpeting costs $5.50 per square foot? 216 ft2 216 ft2 x $5.50 = $1,188
Scale Factor • a scale having the same units in simplest form. • You may have to convert units to find the scale factor!!! • * a replica (an exact copy of the original) • has a scale factor of 1:1 • * a reduction (from original to smaller) • has a scale factor less than 1 • * an enlargement (from original to larger) • has a scale factor greater than 1
What do they look like? • REPLICA (an exact copy of the original) • REDUCTION(from original to smaller) • ENLARGEMENT (from original to larger)
What’s the difference? • Gives a ratio that compares measurements • Does not have to be in the same units • EX 1 inch : 5 feet SCALE SCALE FACTOR It’s a scale, but it must have the same units, and is in simplest form You might have to convert the units EX 1 inch : 5 feet (scale) CONVERT both to inches ; 1 inch : 60 inches = 1:60 scale factor
You try it… • Find the scale factor • 1 inch = 6 feet • convert to inches … 12 inches in 1 foot… 1:72 is the scale factor • 6 inches = 2 feet • convert to inches … 6 inches = 24 inches … SIMPLIFY … 1:4 is the scale factor
While visiting the re-enactment of the Battle of Narcoossee, Florida, Jerard learned that the bore diameter of an 1861 Mountain Howitzer artillery gun was 5.5 inches.The gift shop sold scale souvenir replica 1861 Mountain Howitzers that used a scale of 0.2 inches = 1 inch. What would be the bore diameter, in inches, of the replica? 1.1 inches
Summary • Answer the Essential Question in 2 or more complete sentences. EQ: Do architects use the same scale factor for each room when designing a house? Why or why not?