Pyramid A is a square pyramid with a base side length of 12 inches and a height of 8 inches. Pyramid B has a volume of 3,456 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit. Edit View Insert Format Tools Table 12pt ~~ Paragraph - B | U A T Question 2 10 pts (06.02 MC) Ellis is painting wooden fenceposts before putting them in his yard. They are each 7 feet tall and have a diameter of 1 foot. There are 11 fenceposts in all. How much paint will Ellis need to paint all the surfaces of the 11 fenceposts? Use 3.14 for i, and round your answer to the nearest hundredth. Provide an explanation and proof for your answer to receive full credit. Edit View Insert Format Tools Table 12pt ~ Paragraph - B T U A~ v Tw D @ | Owords | > Question 3 10 pts (06.03 MC) Use the chart below to answer the questions: Count Population Area L (1997 estimate) | (square km) 203479.000 | 1,904,569 m 5,248,000 42077 m 18.339.000 | 237.533 Which of these countries has the greatest population density? Which has the least? Provide an explanation and proof for your answer to receive full credit. Edit View Insert Format Tools Table 12pt ~ Paragraph ~ B J U A~ -~ T Afigure is located at (2, 0), (2, -2), (6, -2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation. Geometry Module 6 Discussion-Based Assessment Module 6: Volume and Figures Competency Statement: Students will demonstrate an understanding of volume and figures by explaining calculations for volume, explaining calculations for area, explaining calculations for density, and analyzing two and three dimensional figures. Explain what the competency statement means in your own words. 1. If you want to create a cone or cylinder by spinning a 2-dimensional shape about an axis of symmetry, what shapes would you need to use? 2. Describe how the formulas for the volume of a cone, cylinder, and square pyramid are oblained. 3. What is the relationship between mass, density, and volume? Provide an example that invelves calculating population density. 4. Using an example, explain how changes in the dimensions of three-dimensional geometric shapes (cubes, cylinders, pyramids) affect the volume of these shapes. 5. The concept of volume is something you experience every day in your life. Provide a specific example in which you could solve a real-world application using volume