2. a. Draw a pattern for a right pyramid with a square base. b. Assume that...

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2. a. Draw a pattern for a right pyramid with a square base. b. Assume that your pyramid has a square base with sides 60 cm long and the distance from one vertex on the base to the apex of the pyramid (along an edge) is 50 cm. Using your drawing, illustrate how to determine the surface area of the pyramid (including the base). c. What is the surface area of the pyramid? a. Draw a pattern for a cylinder that includes its bases. In your drawing label the radius of the cylinder as r and its height as h. b. Reasoning about your drawing, find a formula for the surface area of a cylinder of radius r units and height h units (including the bases). 3. Your students have an open-top box that has a 2-in.-by-4-in. rectangular base and is 3 in. high. They also have a bunch of cubic-inch blocks and some rulers. a. What is the most primitive way for your students to determine the volume of the box? b. What is a more advanced way for your students to determine the volume of the box, and why does this method work? 4. A concrete patio will be made in the shape of a 15-ft-by-15-ft square with half-circles attached at two opposite ends, as shown in the figure below. If the concrete will be 3 in. thick, how many cubic feet of concrete will be needed? Show all your work. D 2. a. Draw a pattern for a right pyramid with a square base. b. Assume that your pyramid has a square base with sides 60 cm long and the distance from one vertex on the base to the apex of the pyramid (along an edge) is 50 cm. Using your drawing, illustrate how to determine the surface area of the pyramid (including the base). c. What is the surface area of the pyramid? a. Draw a pattern for a cylinder that includes its bases. In your drawing label the radius of the cylinder as r and its height as h. b. Reasoning about your drawing, find a formula for the surface area of a cylinder of radius r units and height h units (including the bases). 3. Your students have an open-top box that has a 2-in.-by-4-in. rectangular base and is 3 in. high. They also have a bunch of cubic-inch blocks and some rulers. a. What is the most primitive way for your students to determine the volume of the box? b. What is a more advanced way for your students to determine the volume of the box, and why does this method work? 4. A concrete patio will be made in the shape of a 15-ft-by-15-ft square with half-circles attached at two opposite ends, as shown in the figure below. If the concrete will be 3 in. thick, how many cubic feet of concrete will be needed? Show all your work. D

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