o u r of T A w York City e N Geometry 3-D Shapes Julia Wall Quality Resources for Every Classroom Instant Delivery 24 Hours a Day Thank you for purchasing the following e-book –another quality product from Teacher Created Materials Publishing For more information or to purchase additional books and materials, please visit our website at: www.tcmpub.com For further information about our products and services, please e-mail us at: [email protected] To receive special offers via e-mail, please join our mailing list at: www.tcmpub.com/emailOffers 5301 Oceanus Drive Huntington Beach, CA 92649-1030 800.858.7339 FAX 714.230.7070 www.tcmpub.com A To u r o f w Yo r k C i ty N e 3-D Shapes JJuulliiaa WWaallll Table of Publishing Credits Editor Contents Sara Johnson Editorial Director Emily R. Smith, M.A.Ed. Editor-in-Chief Sharon Coan, M.S.Ed. Creative Director Lee Aucoin Publisher A Vacation in New York City 4 Rachelle Cracchiolo, M.S.Ed. Hunting for 3-D Shapes 5 Scraping the Sky 6 An Unusual Building 8 A Glass Cube 10 Image Credits Columns Are Cylinders 12 The author and publisher would like to gratefully credit or acknowledge the following for permission to reproduce copyright material: cover, Big Stock Photos; title, Photodisc; p.4 (below), Photodisc; p.4 A Round Sculpture 14 (above), Shutterstock; p.6, Photodisc; p.7, Corbis; p.8, Big Stock Photos; p.9, Elvele Images/Alamy; p.10, Corbis; p.11, Kevin Foy/Alamy; p.12, Jochen Tack/Alamy; p.13, Corbis; p.14, Visions of America, LLC/ A Cone Forest 16 Alamy; p.15, Visions of America, LLC/Alamy; p.16, I Stock Photos; p.17, NYCFoto.com; p.18, Shutterstock; p.19, NYCFoto.com; p.20, Corbis; p.21, Stock Connection Blue/Alamy; p.22, Getty Images; p.23, Alex Segre/Alamy; p.24 (left), Photodisc; p.24 (right), Ken Welsh/Alamy; p.25, Alice McBroom; p.26 (above), Egypt or New York? 18 Photodisc; p.26 (below left), Shutterstock; p.26 (below right), Big Stock Photos; p.27 (above), Big Stock Photos; p.27 (below right), Shutterstock; p.27 (below left), Corbis RF; p.29, Big Stock Photos Shapes on Wall Street 20 While every care has been taken to trace and acknowledge copyright, the publishers tender their apologies for any accidental infringement where copyright has proved untraceable. They would be Many Shapes 22 pleased to come to a suitable arrangement with the rightful owner in each case. Problem-Solving Activity 28 Teacher Created Materials Publishing Glossary 30 5301 Oceanus Drive Huntington Beach, CA 92649-1030 Index 31 http://www.tcmpub.com ISBN 978-0-7439-0884-9 Answer Key 32 © 2008 Teacher Created Materials Publishing A Vacation Hunting 3 in New York City for -D Shapes I am spending my vacation I’m learning about 3-D shapes right now in school. in New York City with my uncle. My uncle says we will fi nd lots of 3-D shapes in New He is going to take me on a tour York. I can’t wait! of the city. length height width rectangular prism What Are 3-D Shapes? 3-D means three-dimensional. The dimensions (duh-MEN-shuhns) of a 3-D shape are length, width, and height. 4 5 Scraping the Sky This is the Seagram Building. It is a huge rectangular prism. It has 6 rectangular faces. New York is full of sskkyyssccrraappeerrss. Many skyscrapers are rectangular pprriissmmss. Rectangular prisms are 3-D shapes made up of rectangles. corner edge face (cid:53)(cid:53) (cid:181)(cid:181)(cid:52)(cid:52) (cid:38)(cid:38) (cid:57)(cid:57)(cid:49)(cid:49)(cid:45)(cid:45)(cid:48)(cid:48)(cid:51)(cid:51)(cid:38)(cid:38) (cid:46)(cid:46)(cid:66)(cid:66)(cid:85)(cid:85)(cid:73)(cid:73) (cid:38)(cid:38) (cid:45)(cid:45) Rectangular Facts Faces are the fl at parts 3-D shapes have faces. of the 3-D shape. Edges The Seagram Building are where 2 faces meet. The faces are the fl at was fi nished in 1958. Corners are where 3 parts of a 3-D shape. It is 514.8 feet (156.9 m) edges meet. tall and it has 38 stories. Look at the rectangular prism above. How many faces does it have? 6 7 An Unusual The Flatiron Building is a triangular prism. Building It has 5 faces. Its edges are curved a little. My favorite skyscraper is the Flatiron Building. It is different from most other Triangular Facts skyscrapers. It is an unusual The real name of the shape for a skyscraper. Flatiron Building is the Fuller Building. It is 285 feet (87 m) tall. Shape Up Some architects like to use certain shapes in their (cid:53)(cid:53) (cid:181)(cid:181)(cid:52)(cid:52) (cid:38)(cid:38) (cid:57)(cid:57)(cid:49)(cid:49)(cid:45)(cid:45)(cid:48)(cid:48)(cid:51)(cid:51)(cid:38)(cid:38) (cid:46)(cid:46)(cid:66)(cid:66)(cid:85)(cid:85)(cid:73)(cid:73) buildings. Some like to design (cid:38)(cid:38) (cid:45)(cid:45) buildings with curved shapes. Others like fl at, straight shapes. Look at the photo above. a. How many faces of the Flatiron building can you see in this photo? b. How many faces are hidden? 8 9 A Glass Cube This store also has an elevator in the shape of a cylinder. Next, I wanted to fi nd a cube. It was hard! But we found this amazing store. Cube Fact Each side of this cube-shaped store entrance is 32 feet by 32 feet (9.8 m). The store is underground and the entrance is a big glass cube. It has 6 faces, all the same size. (cid:53)(cid:53) (cid:181)(cid:181)(cid:52)(cid:52) (cid:38)(cid:38) (cid:57)(cid:57)(cid:49)(cid:49)(cid:45)(cid:45)(cid:48)(cid:48)(cid:51)(cid:51)(cid:38)(cid:38) (cid:46)(cid:46)(cid:66)(cid:66)(cid:85)(cid:85)(cid:73)(cid:73) (cid:38)(cid:38) (cid:45)(cid:45) Look at these objects. 1 2 a. Which shapes are cubes? 3 4 b. Which shapes are rectangular prisms? 10 11 Columns The statue sits on top of a column. A column is a cylinder. It has 2 circular faces and a ccuurrvveedd side. Are Cylinders I wondered where we would fi nd another cylinder. My uncle said he would take me to Columbus Circle. It has a statue of Christopher Columbus. The Columbus Circle is named for Christopher Columbus. Can you tell why it is also called a circle? Cylinder Fact The cylinder that holds up the Columbus statue is 70 feet (21.3 m) high. 12 13 A Round Sculpture Right near the cylinder, we found a sspphheerree. This sphere is a ssccuullppttuurree of Earth. It is made of metal. This sculpture of Earth sits outside Trump Tower. The Earth sculpture has only 1 curved side. It does not have edges or corners. A sphere doesn’t have a face, so there is a pole to stop it from rolling away! (cid:53)(cid:53) (cid:181)(cid:181)(cid:52)(cid:52) (cid:38)(cid:38) (cid:57)(cid:57)(cid:49)(cid:49)(cid:45)(cid:45)(cid:48)(cid:48)(cid:51)(cid:51)(cid:38)(cid:38) (cid:46)(cid:46)(cid:66)(cid:66)(cid:85)(cid:85)(cid:73)(cid:73) (cid:38)(cid:38) (cid:45)(cid:45) Look at these sphere and cylinder shapes. a. What is the same about these 2 shapes? b. What is diff erent? 14 15