T r i m e s t e r 3 - P a g e 37 Warm Up - Find the Area of the Regular Hexagon and Square. Surface Area of Prisms and Cylinders Name: Period: Essential Question: Lateral Area of a Prism Description: the area of the all the sides. Example 1 Find the lateral area of the regular hexagonal prism. You Try 1 Find the lateral area of the regular octagonal prism. Surface Area of a Prism Description: Find the area by adding the area of each side and the. Find the surface area of the rectangular prism.
T r i m e s t e r 3 - P a g e 38 You Try 2 Find the surface area of the triangular prism. Surface Area of a Cylinder Description: Add the top and bottom circles and the area. Example 3 Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. You Try 3 Find the lateral area and the surface area of the cylinder. Round to the nearest tenth. Summarize
T r i m e s t e r 3 - P a g e 39 Warm Up - Find the surface area of each figure. Surface Area of Pyramids and Cones Name: Period: Essential Question: Surface Area of Regular Pyramids Description: the area of the sides ( ) and the B. Example 1 Find the lateral area of the square pyramid. You Try 1 Find the lateral area of the square pyramid. Find the surface area of the square pyramid to the nearest tenth. Example 3 Find the surface area of the square pyramid to the nearest tenth.
T r i m e s t e r 3 - P a g e 40 You Try 2 Find the surface area of the square pyramid to the nearest tenth. Surface Area of a Cone Description: the lateral area L plus the base area B. Example 4 Find the surface area of the cone. Round to the nearest tenth. You Try 3 Find the surface area of the cone. Round to the nearest tenth. Summarize
T r i m e s t e r 3 - P a g e 41 Warm Up - Find the surface area of the cone. Volume of Prisms and Cylinders Name: Period: Essential Question: Volume of a Prism Example 1 Find the volume of the prism. You Try 1 Find the volume of the prism. You Try 2 Find the volume of the prism. Volume of a Cylinder
T r i m e s t e r 3 - P a g e 42 Find the volume of the cylinder to the nearest tenth. You Try 3 Find the volume of the cylinder to the nearest tenth. You Try 4 Find the volume of the cylinder to the nearest tenth. Example 3 Find the volume of the oblique cylinder to the nearest tenth. You Try 5 Find the volume of the oblique prism to the nearest tenth. Summarize
T r i m e s t e r 3 - P a g e 43 Warm Up - Find the volume of the prism and Cylinder. Volume of Pyramids and Cones Name: Period: Essential Question: Volume of a Pyramid Example 1 Find the volume of the square pyramid. You Try 1 Brad is building a model pyramid for a social studies project. The model is a square pyramid with a base edge of 8 feet and a height of 6.5 feet. Find the volume of the pyramid. You Try 2 Find the volume of the pyramid.
T r i m e s t e r 3 - P a g e 44 Volume of a Cone Find the volume of the cone to the nearest tenth. Find the volume of the oblique cone to the nearest tenth. You Try 3 Find the volume of the cone to the nearest tenth. You Try 4 Find the volume of the cone to the nearest tenth. Summarize
T r i m e s t e r 3 - P a g e 45 Warm Up - Find the volume of the cone and pyramid. Surface Area and Volume of Spheres Name: Period: Essential Question: Surface Area of a Sphere Volume of a Sphere Example 1 Find the surface area and volume of the sphere. You Try 1 Find the surface area and volume of a sphere.
T r i m e s t e r 3 - P a g e 46 Surface Area of a Hemisphere Volume of a Hemisphere Find the surface area and volume of the hemisphere. You Try 2 Find the surface area and volume of the hemisphere. Summarize
T r i m e s t e r 3 - P a g e 47 Warm Up - Find the surface area of the sphere and hemisphere. Congruent and Similar Solids Name: Period: Essential Question: Similar Solids Description: Two solids are similar if they have the same and the ratios of their corresponding linear measures are. Two solids are Example 1 if: Corresponding are congruent. Corresponding are congruent. Corresponding are congruent. Volumes are. Determine whether the pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor. You Try 1 & 2 Determine whether the pair of solids is similar, congruent, or neither. If the solids are similar, state the scale factor.
T r i m e s t e r 3 - P a g e 48 Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure. Example 3 Example 4 You Try 3 Each pair of figures is similar. Use the information given to find the scale factor of the figure on the left to the figure. Example 5 Each pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes. You Try 4 Each pair of figures is similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes. Summarize