Lesson 10T ~ Three-Dimensional Figures Name Period Date Use the table of names at the right to name each solid. 1. 2. Names of Solids 3. 4. 4 cm 4 cm Cone Cylinder Hexagonal prism Pentagonal pyramid Rectangular prism Square pyramid 5. 6. 7. Identify three objects that are spheres. Identify the number of lateral faces, bases, edges and vertices. 8. 9. Lateral faces Bases Edges Vertices Lateral faces Bases Edges Vertices
Lesson 11T ~ Drawing Solids Name Period Date 1. a. What shape is the base? b. Name the prism. c. Draw the net. 2. a. Name the solid. b. Draw a net for the solid. 3. a. Name the solid. b. Draw a net for the solid. 4. a. Name the solid. b. Draw a net for the solid.
Sketch a diagram of each solid. 5. cone 6. hexagonal pyramid 7. rectangular prism 8. cylinder
Lesson 12T ~ Surface Area of Prisms Name Period Date 1. Follow the steps to find the surface area of the rectangular prism. a. Find the perimeter of the 7 in by 25 in base. b. What is the height of the prism? 4 in 25 in c. Find the lateral area (Ph) of the prism. 7 in d. Find the area of one base. e. What is the total area of both bases? f. Find the surface area of the prism. 2. Find the surface area of the prism. a. What shape is the base of the prism? 12 cm 5 cm b. Find the perimeter of the triangular base. c. What is the lateral area of the prism? 13 cm 14 cm d. What is the area of the triangular base? e. Find the surface area. Find the surface area of each prism. 3. Area of the base = 166.28 mm 4. Each side of the base is 8 mm 8 mm 8 mm 13 mm 3 ft 3 ft 3 ft 8 mm 8 mm 8 mm
Lesson 13T ~ Surface Area of Cylinders Name Period Date 1. Find the lateral area of the cylinder to the right. a. Find the circumference of the base. Use 3.14 for π. 4 in b. Find the lateral area of the cylinder, LA = C h 10 in 2. The lateral area of a cylinder is 32 yd². The area of one base is 9 yd 2. a. How many bases does a cylinder have? b. What three areas must be added together to find the surface area of the cylinder? SA = + + c. Find the surface area of the cylinder. 3. The radius of a cylinder is 5 feet. The lateral area of the cylinder is 376.8 ft². What is the surface area of the cylinder? a. Find the area of one circular base. Use 3.14 for π. b. Write the three areas that must be added together to get the surface area of the cylinder. c. Find the surface area. SA = ft² + ft² + ft² Find the lateral area and surface area of each cylinder. Use 3.14 for π. 4. 5. 6 cm 8 cm 10 cm 13 cm LA = SA = LA = SA =
Lesson 14T ~ Surface Area of Regular Pyramids Name Period Date Circle the correct answer. 1. Each lateral face of a pyramid is what shape? A. circles B. rectangles C. triangles 2. The lateral area of a pyramid is found by which of the formulas? A. LA = Pl B. LA = Ch C. LA = πr² 3. An octagonal pyramid has lateral faces. A. 5 B. 8 C. 10 4. A square pyramid has a square base with sides that are 2 cm each. The pyramid has a slant height of 5 cm. Find the lateral area of the pyramid. a. Sketch and label a diagram of the pyramid. b. What is the perimeter of the base? c. Find the lateral area of the pyramid ( Pl). 5. Find the surface area of the triangular pyramid at the right. Slant height = 9 in a. What is the perimeter of the base? b. Find the lateral area of the pyramid. 6 in 6 in 5.2 in 6 in c. What is the area of the base of the pyramid? d. Find the surface area of the pyramid by adding the answers from part b and part c.
Find the lateral area and surface area of each pyramid. 6. 12 ft LA = SA = 7 ft 7 ft 7. The area of the base of the pyramid is 7 cm². 2 cm 2 cm 4.5 cm LA = SA = 2 cm 2 cm 2 cm
Lesson 15T ~ Surface Area of Cones Name Period Date 1. The lateral area of cone is 23 cm². The base area is 7 cm². Find the surface area of the cone. 2. Ann was making party hats for her friends. The circumference of each hat was 28.26 cm². The slant height of each hat is 14 cm. How much paper does it take to make each hat? a. What area is needed to find the amount of paper for a party hat, lateral area or surface area? b. Find the amount of paper needed for each hat. 3. The lateral area of a cone is 197.82 ft². The radius of the cone is 9 ft. Find the surface area of the cone. a. Find the area of the circular base of the cone. Use 3.14 for π. b. What is the surface area of the cone? Find the surface area of each cone. Use 3.14 for π. 5 cm 4. 5. 12 in 13 cm 25 in Surface Area = Surface Area = 6. Elmer needs to make 20 snow cone cups with lids. He wants the diameter of each conical cup to be 3 inches. The slant height is 5 inches. How much paper is needed? a. Find the surface area of one snow cone cup with a lid. b. How much paper is needed to make 20 snow cone cups with lids?
Lesson 16T ~ Surface Area of Cones Name Period Date 1. Find the surface area of the composite solid at the right. 4 in a. How many faces of the cube are on the outside? A. 3 B. 4 C. 5 b. Find the surface area of the faces in part a. 3 in 3 in 3 in c. Will you need to find the surface area or lateral area of the pyramid? d. Find the lateral area of the pyramid. e. Add the answers from part b and part d together. f. What is the surface area of the composite solid? 2. A child s soft drink cup is a cylinder with a cone on top of it. The radius of the cup is 4 cm. The cylinder is 10 cm tall. The conical top has a slant height of 6 cm. Find the surface area of the cup. a. Draw and label a diagram of the soft drink cup. b. Find the lateral area of the cone shaped top. Use 3.14 for π. c. What is the lateral area of the cylinder? Use 3.14 for π. d. Find the area of the bottom of the cup. Use 3.14 for π. e. What is the total surface area of the cup?
3. Find the surface area of the figure below. Use 3.14 for π. 3 cm 5 cm 6 cm 6 ft 4. Use the figure to the right. 5 ft 4 ft 7 ft 8 ft 2 ft 1 ft a. Find the perimeter of the front face. There are six lengths that need to be added together for this answer. b. Multiply the answer from part a by 7 ft. This will give the lateral area of the solid. c. The base of the figure is the shape of the front face. Find the area of it. 6 ft 5 ft 8 ft 4 ft 2 ft 1 ft d. How many bases area there? e. Multiply the answers from part c and part d. f. What is the total surface area of the figure?