9.1. Perimeter & Circumference. For this Challenge Activity, you will need to see your teacher. Measurement & Geometry
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1 Perimeter & Circumference 9.1 Find the perimeter of each polygon. Find the perimeter of each rectangle. Find the circumference of each circle to the nearest tenth. Use 3.14 or 22 7 for Use 22 for for problems A circular swimming pool is 21 feet in diameter. What is the circumference of the swimming pool? 11. A jar lid has a diameter of 42 millimeters. What is the circumference of the lid? 12. A frying pan has a radius of 14 centimeters. What is the circumference of the frying pan? 9.1 CHALLENGE: All-Around Formulas Use the first figure in each row to write a formula for the perimeter of the combined figure next to it. Use your formulas in Exercises 5 8. For this Challenge Activity, you will need to see your teacher.
2 Area of Circles 9.2 Find the area of each circle to the nearest tenth. Use 3.14 for A Susan B. Anthony dollar coin has a diameter of millimeters. What is the area of the coin to the nearest hundredth? 11. A tablecloth for a round table has a radius of 21 inches. What is the area of the tablecloth? Use 22 for CHALLENGE: Part of the Picture You can add or subtract to find the area of a shaded region. Find the area of the rectangle. Find the area of the circle. A m 2 A r m 2 The shaded area 80 m m m m 2. You will use this information to solve the problems on the Challenge Activity. Please ask your teacher for this activity.
3 Area of Irregular Figures 9.3 Estimate the area of each figure. Each square represents 1 square foot Find the area of each figure. Use 3.14 for Marci is going to use tile to cover her terrace. How much tile does she need? 9.3 CHALLENGE: Figure it Out! Sometimes there is more than one way to find the area of a composite figure. One Way Another Way A(rectangle) ft 2 A(rectangle) ft 2 A(triangle) ft2 A(trapezoid) (20 8) 168 ft2 A(figure) ft 2 A(figure) ft 2 You will show two different ways to find the area of three figures. ***See your teacher for this challenge activity***
4 Three-Dimensional Figures 9.4 Identify the bases and faces of each figure. Then name the figure. Classify each figure as a polyhedron or not a polyhedron. Then name the figure CHALLENGE: Platonic Solids A three-dimensional figure in which all the faces are polygons is called a polyhedron. A polyhedron whose faces are all congruent regular polygons is called a regular polyhedron. Regular polyhedrons are called Platonic solids. Below are patterns for four Platonic solids. Copy each pattern. You may enlarge the pattern if you like. Then cut out the pattern and fold it to build a model of the solid. Use your models to answer the questions. Hexahedron Tetrahedron Octahedron Dodecahedron 1. How many faces does a hexahedron have? What is another name for a hexahedron? 2. How many faces does a tetrahedron have? What is another name for a tetrahedron? 3. How many faces does an octahedron have? 4. How many faces does a dodecahedron have?
5 Volume of Prisms and Cylinders 9.5 Find the volume of each figure. 7. A travel mug is shaped like a cylinder. It is 9 centimeters wide and 15 centimeters tall. Find its volume to the nearest tenth. Use 3.14 for. Find the volume of the composite figure to the nearest tenth. Use 3.14 for CHALLENGE: Painted Faces A cube has six sides, or faces. Each of the six faces is a square. This cube measures 2 units on each edge. The faces of the cube are painted. 1. How many small cubes make up the large cube? 2. How many small cubes are painted on 3 faces? on 2 faces? on 1 face? not at all? This cube measures 3 units on each edge. 3. How many small cubes make up the large cube? 4. If the large cube is painted, how many small cubes will be painted on 3 faces? on 2 faces? on 1 face? not at all? This cube measures 4 units on each edge. 5. How many small cubes make up the large cube? 6. If the large cube is painted, how many small cubes will be painted on 3. faces? on 2 faces? on 1 face? not at all?
6 Surface Area of Prisms & Cylinders Find the surface area of each prism to the nearest tenth Find the surface area of each cylinder to the nearest tenth Trina is designing a tent with the dimensions shown. What is the surface area of the tent? Round to the nearest tenth. 9.6 CHALLENGE: Problem Solving 1. A can of peas is 3 inches in diameter and 4.5 inches tall. What is the area of the label used around the can? 2. How much wrapping paper do you need to completely cover a rectangular box that is 20 inches by 18 inches by 2 inches? 3. Jan puts frosting on a circular cake. The cake has three layers, each with a diameter of 20 centimeters and a height of 5 centimeters. Jan puts frosting between the layers and on the outside, except for the bottom. What is the area that Jan frosts? Round to the nearest square centimeter. 4. A cardboard storage carton has a length of 3 feet, a width of 2 feet, and a volume of 12 ft 3. What is the minimum amount of cardboard needed to make the box? 5. A cylindrical building is 30 meters in diameter and 50 meters high. The outside of the building, excluding the roof, is completely covered in glass. To the nearest square foot, what is the total area of the glass? 6. Rebecca gives gifts to 12 employees. Each gift is in a box that is 12 inches by 10 inches by 3 inches. How much wrapping paper does Rebecca need to completely the cover the boxes? 7. A cylinder-shaped sculpture is 24 meters high with a diameter of 6.8 meters. An artist plans to spray-paint the entire surface with silver paint. If one can of spray paint covers 50 square meters, how many cans does the artist need to paint the sculpture?
7 9.1 CHALLENGE: All-Around Formulas Use the first figure in each row to write a formula for the perimeter of the combined figure next to it. Use your formulas in Exercises 5 8. Original Figure Combined Figure Perimeter 1. A regular octagon: 2. An isosceles triangle: 3. A parallelogram: 4. A semicircle: 5. What is the perimeter of the combined figure in Exercise 1 if m 4 in.? 6. What is the perimeter of the combined figure in Exercise 2 if s 4.5 m and b 5.2 m? 7. What is the length of the original figure in Exercise 3 if the width is 6 in. and the perimeter of the combined figure is 56 in.? 8. What is the perimeter of the combined figure in Exercise 4 if d 10 cm?
8 9.2 CHALLENGE: Part of the Picture You can add or subtract to find the area of a shaded region. Find the area of the rectangle. Find the area of the circle. A m 2 A r m 2 The shaded area 80 m m m m 2. Add or subtract to find the area of the shaded region. Round your answer to the nearest tenth *** WMMS West Minico Math Stars ***
9 9.3 CHALLENGE: Figure it Out! Use the example on your assignment sheet Show two different ways to find the area of each figure. 9.3 CHALLENGE: Figure it Out! Use the example on your assignment sheet Show two different ways to find the area of each figure *** WMMS West Minico Math Stars ***
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