Interpreting Plans & Measurements Mr. Weaver

Objectives for the Day! 1. Interpret plans and construct the object drawn. 2. Read a scale and take accurate measurements. 3. Calculate Area and Volume based on measurements. 4. Record data in tabular form. 5. Plot a graph based on data.

Situation: A very eccentric and wealthy benefactor has agreed to donate a VERY large sum of money to our program... But there’s a catch! 1.The money will be in the form of diamonds 2.The diamonds will be placed in a box, made of paper on the spot. Problem: We need to determine how to make the biggest box possible from 1 standard size (8.5” x 11”) piece of paper using only a ruler, a pair of scissors and tape. Directions: Cut squares out of the corners of the paper Measure and record the area of the squares Fold and secure (with tape) the sides to make a box. Measure and record the volume of the box.

Rectangles & Cubes: Multiple Classes Examples of Box Activities: 1.Animal Science: Feed bins. 2.Horticulture: Soil Bin, buy soil in cubic feet (filling plant pots). 3.Mechanics: Sheet metal, Trailers, truck box, or fuel tanks. 4.Woodshop: Construction, toolboxes, or plywood firewood box.

Lesson #1: Rectangles & Cubes  Perimeter: (1)  Area: (1)  Volume: (1) Add All Sides L x W L x W x H

8’ 4’ 6’ 3’ 4’ Practice:

Lesson #2: Triangles, Prisms, & Pyramids  The “Right” Triangle: (1)  Perimeter: (1)  Missing a Side? (2)  Right Triangle Area: (1)  Right Prism Volume: (1)  Pyramid Volume: (1) Add All Sides a 2 + b 2 = c 2 (BxH)/2 [(BxH)/2] x Prism Length (Base Area x H)/3

Practice: 24” 3” 4” 12” 10’ 12’

Lesson #3: Circles, Cylinders, & Cones  Circumference: (1)  Area: (1)  Cylinder Volume: (1)  Cone Volume: (1) ∏ x Diameter ∏r 2 ∏r 2 x Height (∏r 2 H)/3

Practice: 17’ 10’ 15” 12’ 6’ 18’

Triangle, Prism, Pyramid: Other Applications

Circles, Cylinders, Cones: Other Applications

You are the owner of a grain elevator in rural Kansas that has a maximum capacity of 30,000 bushels. Industry experts have predicted a 21% production increase for your market area over the next two years. You decide to construct a new silo that has a diameter of 30’. Answer the following questions. 1.What will be your capacity increase in bushels over the next two years at 21%? 2.If each ring of the newly constructed bin is 36” tall, how many rings in the new bin will be full of grain after the 21% growth? 3.After construction is complete for your new storage bin you must install a gravity spout for filling the bin. If the center of bin is located 62’ 6” from the elevator leg, what length would the gravity spout need to be?

36” #2 - New Bin Rings 96’ Elevator Gravity Spout New Bin #3 – Gravity Spout Length 62’ 6” 58’ FINAL EVALUATION: