Math Mammoth Geometry 2 Worktext（数学的几何2 Worktext）.pdfVIP

Surface Area The surface area of a solid is the total area of all of its faces. Example 1. The net of a cylinder consists of two circles for the The net of a solid shows all the faces bases and a rectangle for the of the solid drawn in a plane, as if on lateral face (the face that “wraps a flat paper. It often makes calculating around”). the surface area easier. 1. Sketch a net for each cylinder and calculate its surface area to the accuracy indicated. 2 a. _________________ cm Round your answer to the nearest hundred square centimeters (three significant digits). b. _________________ in2 Round your answer to the nearest square inch (two significant digits). Sample worksheet from 64 Math Mammoth Geometry 2 (Blue Series) 2. Jeannie made a pyramid out of paper for a decoration. The bottom of the pyramid was a square with 5.0-cm sides, and the height of each triangular face of the pyramid was 4.0 cm. a. Sketch a net for Jeannie’s pyramid. b. Calculate the surface area of the pyramid. c. (Optional). Make this pyramid from paper. 3. Find the surface area of this building (not including the bottom face). Sample worksheet from 65 Math Mammoth Geometry 2 (Blue Series) 2 4. The surface area of a cube is 150 cm . Calculate the volume of the cube. 5. One cube has edges 1 unit long, and another has edges 2 units long. In other words, the lengths of their edges are in a ratio of 1:2. a. What is the ratio of their surface areas? b. What is the ratio of their volumes? 6. Three mirrors are set up in a form of an equilateral triangular