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

$363.3 \ m^3$

The volume of a square pyramid is: $Volume =\dfrac{1}{3} \times b\times h=\dfrac{1}{3} \times S^2 \times h$ Plug the values of $S$ and $h$ into the formula to obtain: $Volume=\dfrac{1}{3} \times (10)^2 \times (10.9)\\=\dfrac{1}{3} \times 100 \times 10.9 \\=363.3 \ m^3$