Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 11 - Surface Area and Volume - 11-4 Volumes of Prisms and Cylinders - Practice and Problem-Solving Exercises: 13

Answer

22.5 $in^{3}$

Work Step by Step

The legs of a 45-45-90 triangle are the same. To find the volume of a triangular prism, we use the formula V=$\frac{1}{2}$bhl, where b is the base, h is the height, and l is the length. We plug in the values for base, height, and length, given: V=$\frac{1}{2}$(5in)(1.8in)(5in) We multiply to find the volume: V=22.5$in^{3}$
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