MathDB
Regular square pyramids

Source: 2014-2015 SDML High School 1b Problem 4/2014-2015 SDML Middle School 1b Problem 8

August 28, 2016
geometry3D geometrypyramid2014-15 SDML Round 1SDML High SchoolSDML Middle School

Problem Statement

Two regular square pyramids have all edges 1212 cm in length. The pyramids have parallel bases and those bases have parallel edges, and each pyramid has its apex at the center of the other pyramid's base. What is the total number of cubic centimeters in the volume of the solid of intersection of the two pyramids?