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11.8: Chapter 11 Review

Difficulty Level: At Grade Created by: CK-12
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Keywords, Theorems, & Formulas

Exploring Solids

  • Polyhedron
  • Face
  • Edge
  • Vertex
  • Prism
  • Pyramid
  • Euler’s Theorem
  • Regular Polyhedron
  • Regular Tetrahedron
  • Cube
  • Regular Octahedron
  • Regular Dodecahedron
  • Regular Icosahedron
  • Cross-Section
  • Net

Surface Area of Prisms & Cylinders

  • Lateral Face
  • Lateral Edge
  • Base Edge
  • Right Prism
  • Oblique Prism
  • Surface Area
  • Lateral Area
  • Surface Area of a Right Prism
  • Cylinder
  • Surface Area of a Right Cylinder

Surface Area of Pyramids & Cones

  • Surface Area of a Regular Pyramid
  • Cone
  • Slant Height
  • Surface Area of a Right Cone

Volume of Prisms & Cylinders

  • Volume
  • Volume of a Cube Postulate
  • Volume Congruence Postulate
  • Volume of a Rectangular Prism
  • Volume of a Prism
  • Cavalieri’s Principle
  • Volume of a Cylinder

Volume of Pyramids & Cones

  • Volume of a Pyramid
  • Volume of a Cone

Surface Area and Volume of Spheres

  • Sphere
  • Great Circle
  • Surface Area of a Sphere
  • Volume of a Sphere

Extension: Similar Solids

  • Similar Solids
  • Surface Area Ratio
  • Volume Ratio

Review Questions

Match the shape with the correct name.

  1. Triangular Prism
  2. Icosahedron
  3. Cylinder
  4. Cone
  5. Tetrahedron
  6. Pentagonal Prism
  7. Octahedron
  8. Hexagonal Pyramid
  9. Octagonal Prism
  10. Sphere
  11. Cube
  12. Dodecahedron

Match the formula with its description.

  1. Volume of a Prism - A. \begin{align*}\frac{1}{3} \pi r^2 h\end{align*}13πr2h
  2. Volume of a Pyramid - B. \begin{align*}\pi r^2 h\end{align*}πr2h
  3. Volume of a Cone - C. \begin{align*}4 \pi r^2\end{align*}4πr2
  4. Volume of a Cylinder - D. \begin{align*}\frac{4}{3} \pi r^3\end{align*}43πr3
  5. Volume of a Sphere - E. \begin{align*}\pi r^2+ \pi rl\end{align*}πr2+πrl
  6. Surface Area of a Prism - F. \begin{align*}2 \pi r^2+2 \pi rh\end{align*}2πr2+2πrh
  7. Surface Area of a Pyramid - G. \begin{align*}\frac{1}{3} Bh\end{align*}13Bh
  8. Surface Area of a Cone - H. \begin{align*}Bh\end{align*}Bh
  9. Surface Area of a Cylinder - I. \begin{align*}B+\frac{1}{2} Pl\end{align*}B+12Pl
  10. Surface Area of a Sphere - J. The sum of the area of the bases and the area of each rectangular lateral face.

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9696.

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