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Geometry Problem Set - Perimeter, Midpoint, Surface Area, Path Length

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gerek
10 diapositives · 218 Views · Jul 27, 2014

Work on 5 two-dimensional geometry problems involving perimeter, midpoint, and surface area calculations. Includes plotting points, finding midpoints, and calculating surface area of shapes. Involves real-life application involving walking paths and material cost calculation.

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Geometry Problem Set - Perimeter, Midpoint, Surface Area, Path Length
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  1. Five with FersterDay 2 To begin today, let’s consider these 5 problems. Take some time to work on these by yourself, or with a friend. 

  2. Another Set of problems dealing with 2 dimensional Geometry! Key Ideas: Distance Formula, Midpoint, Surface Area

  3. Problem #1 • You have just plotted the following points: A: (1,-1) B: (4,3) C: (0,3) D: (-3,-1) • Determine the perimeter of quadrilateral ABCD.

  4. Problem #2 • The drawing at the right shows the line with equation • Points A and B are the y-intercept and x-intercept of the line. • Point M is the midpoint of • Determine the coordinates of point M. A M B

  5. Problem #3 • A rectangular prism (Think shoe box) has dimensions 4 inches by 5 inches by 8 inches. Find the surface area of the rectangular prism.

  6. Problem #4 SALLY • Sam is going to visit his friend Sally. He decides that he’ll stop by Sheets to pick up a tasty treat, and then walk past 7-11 on the way to Sally’s house. On the way home, he’ll take the shortest path home-the one past the Wawa. WAWA 7-11 SAM SHEETS

  7. Problem #4 (Continued) SALLY • A. If every unit on the grid corresponds to one block, how many blocks will Sam walk on the way to Sally’s house? • B. Again, assuming that each unit on the grid corresponds to one block, how many blocks will he walk on the way home from Sally’s house? WAWA 7-11 SAM SHEETS

  8. Problem #4 (Concluded) SALLY • C. As Sam is walking home, he decides to stop at Wawa (after all, it’s Hoagie Fest!). Wawa is exactly half way from Sally’s house to his house. Give the coordinates for Wawa. WAWA 7-11 SAM SHEETS

  9. Problem #5 • Stella is making a case to hold her beanie babies (seems Stella is stuck in the 90s ). She decides that the bottom of the case needs to be made from regular plywood that she can buy from Lowes at a cost of $.10 per square inch. The sides of the case are going to be made from decorative linoleum, that Stella has chosen to reflect her eclectic artistic tastes. She will buy this material from a local builder at a cost of $.20 per square inch. Stella determines that the base of her case must be a square that measures 20 inches per side. She decides that the sides of the case must be 30 inches high. She will NOT put a lid on her case—after all, beanie babies must be fee to enjoy the view of the world!

  10. Problem #5 (Concluded) • A. Determine the area of the bottom of the case. • B. Determine the area of each side of her case. • C. Determine the surface area of her case. Remember, there is no lid. • D. Determine the volume of her case. • E. Use the prices in the previous slide to determine the cost of the materials needed to make the case.