## Geometry: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 11 - Surface Area and Volume - 11-5 Volumes of Pyramids and Cones - Practice and Problem-Solving Exercises - Page 730: 12

#### Answer

363.6 meters cubed

#### Work Step by Step

Use pythagorean theorem to find height of pyramid: $12^{2} - 5^{2} = h^{2}$ $144-25= h^{2}$ $119 = h^{2}$ $\sqrt 119 = h$ Volume of a square pyramid = $\frac{1}{3}\times base\times base\times height$ V = $\frac{1}{3} \times 10 \times 10 \times\sqrt 119$ V = 363.6 meters cubed

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