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Diagnostic Test 15 Practice Test•37 Questions
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Q1
Pyramid 1 in three-dimensional coordinate space has as its base the square with vertices at the origin, 
, 
, and 
, and its apex at the point 
; Pyramid 2 has as its base the square with vertices at the origin, 
, 
, and 
, and its apex at the point 
. All six variables represent positive quantities. Which pyramid has the greater volume?
Statement 1: 
and 
Statement 2: 
Pyramid 1 in three-dimensional coordinate space has as its base the square with vertices at the origin,
Statement 1:
Statement 2:
, 
, 
, and 
for some positive values of 
. What is the volume of the solid?
