L 23: Perimeter, Area, Volume At the end of this lesson you will be able to: Review the perimeter, area, and volume concepts and become proficient in making a distinction when and in what situation to use the appropriate means of measurement. Use problem-solving strategies to identify a question or situation that can use a mathematical approach. Apply life experiences and knowledge of mathematical concepts. .
Perimeter • Distance all the way around an object • Example: fence, backsplash, frame, border… • Perimeter is measured in linear units (ft, m, in)
Perimeter Formulas • For any shape, add up all the sides! But sometimes it’s easier to use a formula in an equation. • Square: 4 x S • Rectangle: 2L + 2w • Triangle: s + s + s
Area • The space or surface enclosed in a 2-dimesnional shape – in other words – the flat surface • Examples: carpet, paint on a wall, grass.. • area is measured in square units (ft2, m2, in2)
Area Formulas • Square: A = L x W OR S2 • Rectangle: A = L x W • Parallelogram: A = bh • Triangle: A = ½ bh OR bh/2
Volume • The amount of 3-dimensional space occupied by an object – the space inside something • Examples: water in a pool, sand in a sandbox, air in a tank… • Formula for rectangle: L x W x H • volume is measured in cubic units (ft3, m3, in3
Is it area, volume, or perimeter? • How much water can I put in a pool? • Volume • Putting fence around a yard. • Perimeter • How much carpet do I need to buy for the living room? • Area
Example 1 Yelena is framing a picture for a customer. She has a piece of picture frame molding that is 58 inches long. The job requires 47 inches of molding. How much molding will Yelena have left after framing the picture?
Example 2 Chang installs carpet for a flooring company. He receives an order from a customer who wants carpet put in his living room. If the room measures 14 feet by 20 feet, how much carpeting will Chang need to complete the job? Be sure to use labels.
Example 3 A laborer is building a frame for a sidewalk that is 264 feet long, 3 feet wide, and 3 inches thick. In cubic feet, who much concrete will be needed for the sidewalk? (A rectangular solid is a three-dimensional object, so it has length, width, and height V=lwh)
Pool dimensions: 10 feet wide x 30 feet long x 5 feet deep Patio dimensions: 20 feet wide x 50 feet long You just started a handyman business. A client wants you to do the following jobs. Calculate the correct area, perimeter or volume information you would need to complete each task. build a simple fence around the patio area for privacy order and install a cover for the surface of the pool buy the correct amount of chemicals to treat the pool water and come every week to treat the pool.