Secondary 3 ~ B Day ~ UNIT 8 ~ Applying Geometric Concepts Name: _______________________________Date: _______________ Period: _______ All assignments need to be turned in on test day along with this cover sheet in order to receive credit. Any assignments turned in on test day without a stamp or “absent” written in the box will receive late (75%) credit. Date Assigned Date Due Assignment HW Score On-Time Stamp 8.3/8.6 ~ Perimeter & Area of Similar Figures & Volume of Similar Solids 4/14 4/16 8.3 pg. 572 – 580 # 1 – 5, 7, 8, 34 – 36 8.6 pg. 601 – 609 # 1 – 7, 9 _____ / 18 ______ % 8.4/8.5 ~ Geometric Probability & Space Figures ~ Pg. 581 – 589 & 590 – 600 4/16 4/20 8.4 pg. 582 – 589 # 3, 4, 6, 9 – 11, 15, 16, 34 8.5 pg. 592 – 600 # 3, 8, 11 – 13, 17, 23, 24, 27, 30 _____ / 19 ______ % 8.2 ~ Density & Design ~ Pg 563-570 _____ / 15 4/20 4/22 8.2 Worksheet ______ % Unit 8 Review ~ Pg. 619 – 621 4/22 4/24 Unit 8 Review pg. 619 – 621 # 4, 6 – 11, 14, 17, 18, 19, 21, 24, 25, 26 Additional Problems #1 – 10 _____ / 25 ______ % Unit 8 Test – April 24th 4/24 4/28 _____ / Unit 7 Review ______ % Additional Problems Review 1. Chicago, Illinois, has an area of 227.13 square miles and a population of 2,896,016. What is the population density of Chicago? 2. Paris, France has 2,193,031 people living on 105.4 square kilometers of land. The city of San Francisco, California has 812,826 people living on 121.47 square kilometers of land. How many fewer people live on a square kilometer of land in San Francisco than in Paris? 3. Overstocking an aquarium can lead to fish casualties. A salt-water aquarium with dimensions 2.5’ by 2’ by 1.5’ can safely hold 8 African Butterfly fish. To the nearest hundredth, what is a safe population for the African Butterfly fish? Figure 1 Problems 4-5 4. Point T on is chosen at random. What is the probability that T lies on the given segment ? 5. Point T on is chosen at random. What is the probability that T lies on the given segment ? 6. a) What is the probability of hitting region x? b) What is the probability of hitting region y? 7. Describe the cross section. Figure 2 Problem 6 Figure 3 Problem 7 8. Draw a net for figure 4. Figure 4 Problem 8 9. A woodworker wants to build a jewelry box in the shape of a rectangular prism with a total volume of 10 cubic inches. He wants to minimize the surface area of the box and chooses dimensions of the box so that the bases of the prism are squares. What dimensions should be choose for the box? 10. ANSWERS FOR ASSIGNMENTS: Remember: this is only to check your answers ~ all work must be shown, or no credit will be given!! 8.3/8.6 Answers: pg. 572 – 580 pg. 601 – 609 5. $384 8.4/8.5 Answers: Pg. 582 – 589 3. or 40% 4. or 33% 6. or 56% pg. 592 – 600 8.2 Answers: 1. about 140 people per square mile 2. a. about 1.33 fish per cubic foot b. about 11 fish 3. To find density need mass and volume 4. Divide the population by the total land area or total water volume. 5. Population in population density refers to the number of things (people, fish, or anything else) in given area or volume. 6. about 27,211 people/square mile 7. about 739 people per square mile 8. a. 2.7 g/cm3 Unit 8 Review Answers: 19. v=8 14. ¼ 26. 324 pencils b. 1.93 g/cm3 c. 19.3 g/cm3 d. 11.3 g/cm3 9. a. about 7301 people per square kilometer b. about 19 people/km2 c. about 1034 people/km2 d. about 487 people/km2 10. about 22 fewer people 11. 2.08’ by 2.08’ by 2.08 12. 4 in by 4 in by 4 in 13. 79.4 m by 79.4m by 79.4 14. radius is 5.42 meters 15. check with teacher