11 Chapter Review

Connecting BIG ideas and Answering the Essential Questions

1 Visualization You can determine the intersection of a solid and a plane by visualizing how the plane slices the solid to form a two-dimensional cross section.	Space Figures and Cross Sections (Lesson 11-1) This vertical plane intersects the cylinder in a rectangular cross section. Surface Areas and Volumes of Prisms, Cylinders, Pyramids, and Cones (Lessons 11-2 through 11-5)
2 Measurement You can find the surface area or volume of a solid by first choosing a formula to use and then substituting the needed dimensions into the formula.	Surface Area (S.A.) Volume (V) Prism p h + 2 B p h , plus 2 b Bh Cylinder 2 π r h + 2 B 2 pi r h , plus 2 b Bh Pyramid 1 2 p l + B 1 half . p l plus b 1 3 B h 1 third b h Cone π r l + B pi r , l plus b 1 3 B h 1 third b h	Surface Areas and Volumes of Spheres (Lesson 11-6) S . A . = 4 π r 2 V = 4 3 π r 3 table with 2 rows and 3 columns , row1 column 1 , cap s . cap a . , column 2 equals , column 3 4 pi , r squared , row2 column 1 , v , column 2 equals , column 3 4 thirds , pi , r cubed , end table
3 Similarity The surface areas of similar solids are proportional to the squares of their corresponding dimensions. The volumes are proportional to the cubes of their corresponding dimensions.	Areas and Volumes of Similar Solids (Lesson 11-7) If the scale factor of two similar solids is a : b, then the ratio of their areas is a 2 : b 2 eh squared , colon , b squared the ratio of their volumes is a 3 : b 3 eh cubed , colon , b cubed

Chapter Vocabulary

• altitude (pp. 699, 701, 708, 711)
• center of a sphere (p. 733)
• cone (p. 711)
• cross section (p. 690)
• cylinder (p. 701)
• edge (p. 688)
• face (p. 688)
• great circle (p. 733)
• hemisphere (p. 733)
• lateral area (pp. 700, 702, 709, 711)
• lateral face (pp. 699, 708)
• polyhedron (p. 688)
• prism (p. 699)
• pyramid (p. 708)
• right cone (p. 711)
• right cylinder (p. 701)
• right prism (p. 699)
• slant height (pp. 708, 711)
• sphere (p. 733)
• surface area (pp. 700, 702, 709, 711)
• volume (p. 717)

Choose the correct term to complete each sentence.

1. A set of points in space equidistant from a given point is called a(n) _ ? _ . modified under bar with
2. A(n) _ ? _ modified under bar with  is a polyhedron in which one face can be any polygon and the lateral faces are triangles that meet at a common vertex.
3. If you slice a prism with a plane, the intersection of the prism and the plane is a(n) _ ? _ modified under bar with  of the prism.

Table of Contents