Determine whether the solid is a polyhedron. If it is, name the polyhedron. Explain your reasoning
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1 Chapter 12 Review Packet Name Determine whether the solid is a polyhedron. If it is, name the polyhedron. Explain your reasoning Use Euler's Theorem to find the value of n. Faces: 10 Vertices: n Edges: 24 Find the number of faces, vertices, and edges of the polyhedron. Check your answer using Euler's Theorem Find the surface area of the right prism. Round your answer to two decimal places. Find the surface area of the right cylinder using the given radius r and height h. Round your answer to two decimal places. 8. r = 5 cm; h = 15 cm 9. r = 12 in.; h = 18 in. 10. Solve for x given the surface area S of the right prism or right cylinder. Round your answer to two decimal places. S = 200 ft 2
2 11. Surface Area of a Prism A triangular prism with a right triangular base has legs with lengths of 5 inches, 7 inches, and 74 inches. The height of the prism is 10 inches. What is the surface area of the prism? Round to nearest hundredth. 12. Candy Box As a birthday present for a friend, you buy a cylindrical box of candy. The diameter of the box is 6 inches and the height is 8 inches. What is the minimum amount of wrapping paper needed to wrap the gift? Round your answer to two decimal places. Find the area of each lateral face of the regular pyramid. Round your answer to two decimal places Find the surface area of the regular pyramid. Round your answer to two decimal places. 16. Find the surface area of the right cone. Round your answer to two decimal places. 17. Multiple Choice The surface area of a regular pyramid with a square base is 1536 square meters. The base edge length is 24 meters and the slant height is 20 meters. What is the height of the pyramid? A. 8 meters B. 12 meters C. 16 meters D. 20 meters
3 Sketch the described solid and find its surface area. Round your answer to two decimal places. 18. A regular pyramid has a height of 10 inches. 19. A right cone has a diameter of 12 meters Its base is an equilateral triangle with a base edge and a slant height of 9 meters. length of 12 inches. 20. Find the surface area of the solid. The pyramids are regular and the cones are right. Round your answer to two decimal places. Great Pyramid of Khufu The Great Pyramid of Khufu is located in El Giza, Egypt. Pyramids were built to serve as tombs for the pharaohs of ancient Egypt. The Great Pyramid is 481 feet high and has a square base with a base edge length of 756 feet. Round your answers to two decimal places. 21. Approximate the slant height of the Great Pyramid. 22. Approximate the surface area of the Great Pyramid.
4 Find the volume of the solid by determining how many unit cubes are contained in the solid Find the volume of the right prism or right cylinder. Round your answer to two decimal places Find the length x using the given volume V. V=360 ft 3 7. Multiple Choice How many 2 inch cubes can fit completely in a box that is 10 inches long, 8 inches wide, and 4 inches tall? A. 24 B. 32 C. 40 D Find the volume of the solid. The prisms and cylinders are right. Round your answer to two decimal places. 9. Use Cavalieri s Principle to find the volume of the oblique prism or cylinder. Round your answer to two decimal places.
5 Pillars In order to model a home, you need to create four miniature pillars out of plaster of paris. The pillars will be shaped as regular hexagonal prisms with a face width of 2 inches and a height of 12 inches. Round your answers to two decimal places. 10. What is the area of the base of a pillar? 11. Is 480 cubic inches enough plaster of paris for all four pillars? Find the volume of the solid. Round your answer to two decimal places Find the value of x 15. V=64 in V=56 m 3 Find the volume of the right cone. Round your answer to two decimal places Find the volume of the solid. The prisms, pyramids, and cones are height. Round your answer to two decimal places
6 Find the volume of the sphere. Round your answer to two decimal places Find the radius of the sphere with the given volume V. Round your answers to two decimal places Find the surface area and volume of the solid. The cylinders and cones are right. Round your answer to two decimal places
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