Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Find the surface area of each pyramid to the nearest whole number.

  1. A pyramid has slant height 11 inches and square base with sides of 12 inches.
  2. A pyramid has slant height 8 meters and hexagon base with apothem 2 radical 3 meters and sides 4 meters.
  3. A pyramid has slant height 7.2 inches and square base with sides of 8 inches.

See Problem 2.

Find the lateral area of each pyramid to the nearest whole number.

  1. A pyramid has height 6 meters and square base with sides of 12 meters.
  2. A pyramid has height 8 centimeters, slant height l, and hexagonal base with apothem 5 radical 3 centimeters and sides 10 centimeters.
  3. A pyramid has height 6 meters and square base with sides 4 meters.
  4. Social Studies The original height of the Pyramid of Khafre, located next to the Great Pyramid in Egypt, was about 471 ft. Each side of its square base was about 708 ft. What is the lateral area, to the nearest square foot, of a pyramid with those dimensions?

See Problems 3 and 4.

Find the lateral area of each cone to the nearest whole number.

  1. A cone has height 22 inches and base diameter 26 inches.
  2. A cone has height 4.5 meters and base diameter 4 meters.
  3. A cone has height 4 centimeters and base radius 3 centimeters.

Find the surface area of each cone in terms of pi .

  1. A cone has slant height 18 centimeters and base diameter 12 centimeters.
  2. A cone has slant height 8 feet and base diameter 6 feet.
  3. A cone has slant height 10 centimeters and base radius 7 centimeters.

B Apply

  1. Reasoning Suppose you could climb to the top of the Great Pyramid. Which route would be shorter, a route along a lateral edge or a route along the slant height of a side? Which of these routes is steeper? Explain your answers.
  2. The lateral area of a cone is 4.8 pi . in , . squared , . The radius is 1.2 in. Find the slant height.

End ofPage 713

Table of Contents

Prentice Hall Geometry Chapter 1 Tools of Geometry Chapter 2 Reasoning and Proof Chapter 3 Parallel and Perpendicular Lines Chapter 4 Congruent Triangles Chapter 5 Relationships Within Triangles Chapter 6 Polygons and Quadrilaterals Chapter 7 Similarity Chapter 8 Right Triangles and Trigonometry Chapter 9 Transformations Chapter 10 Area Chapter 11 Surface Area and Volume Chapter 12 Circles Skills Handbook Reference Visual Glossary Selected Answers Index Acknowledgments