Geometry: An Interactive Journey to Mastery

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x The Pythagorean theorem can help compute either the slant height, height, or a lateral edge of a given
pyramid or cone. Always look for right triangles on the surface or in the interior of the solid.
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 A right triangular prism has lateral area 100 square centimeters. If its base edges have lengths 3, 3, and
4 cm, what is the height of the prism?

 A right triangular prism has height 6 inches, and each base is an equilateral triangle of side length 2 inches.
What are the lateral area, surface area, and the volume of the prism?

 A regular octagonal pyramid has base edge 4 meters and lateral area 40 meters squared. What is its
slant height?

one slant height another slant height slant height

Figure 23.13

Problems