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 - 11-5 Volumes of Pyramids and Cones - Practice and Problem-Solving Exercises: 14

Answer

562. 9 ft. cubed

Work Step by Step

Use the Pythagorean Theorem to find the height of the pyramid: $15^{2} - 5.5^{2} = h^{2}$ $194.25= h^{2}$ $\sqrt {194.25} = h$ Volume of a square pyramid = $\frac{1}{3}\times base \times base \times height$ $V = \frac{1}{3} \times 11\times 11 \times \sqrt {194.75}$ V = 562.9 ft cubed
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