Prentice Hall Geometry

Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Use a net to find the surface area of each prism.

  1. A prism has rectangular bases with length 19 centimeters and width 6.5 centimeters with height 29 centimeters between them.
  2. A prism has square bases with sides of 6 feet with height 6 feet between them.
  3. A prism has right-triangular bases with legs each 4 inches, with height 8 inches between them.
    1. Classify the prism below.
    2. Find the lateral area of the prism.
    3. The bases are regular hexagons. Find the sum of their areas.
    4. Find the surface area of the prism.
    A prism has regular hexagonal bases with sides of 4 centimeters, with height 10 centimeters between them.

See Problem 2.

Use formulas to find the surface area of each prism. Round your answer to the nearest whole number.

  1. A prism has rectangular bases with length 10 feet and width 5 feet, with height 4 feet between them.
  2. A prism has right-triangular bases with a leg 4 inches and hypotenuse 5 inches, with height 8 inches between them.
  3. A prism has regular octagonal bases with sides of 5 centimeters, with height 22 centimeters between them.

See Problem 3 and 4.

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

  1. A cylinder has bases with diameter 4 inches, with height 6½ inches between them.
  2. A cylinder has bases with diameter 6 meters, with height 9 meters between them.
  3. A cylinder has bases with radius 8 centimeters, with height 20 centimeters between them.

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

  1. A cylinder has bases with radius 2 centimeters, with height 8 centimeters between them.
  2. A cylinder has bases with diameter 3 centimeters, with height 4 centimeters between them.
  3. A cylinder has bases with diameter 7 inches, with height 11 inches between them.
  4. Packaging A cylindrical carton of oatmeal with radius 3.5 in. is 9 in. tall. If all surfaces except the top are made of cardboard, how much cardboard is used to make the oatmeal carton? Assume no surfaces overlap. Round your answer to the nearest square inch.

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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