Four of the vertices of a parallelepiped are A = (9, –5, -6), B = (15, -3, -12),C = (1,-12, -6), and D = (2, –9, 2). Three of the edges of the parallelepiped are AB, AC, and AD. Find the volumre of the parallelepiped. /olume is Find the other four vertices of the parallelepiped. vertices are Enter your answer as a comma-separated list of points.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.5: Reflections And Symmetry
Problem 20E
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Four of the vertices of a parallelepiped are A = (9, -5, -6), B = (15, -3, -12), C = (1, -12, -6), and D = (2, -9, 2). Three of the edges of the parallelepiped are AB, AC, and AD.
Find the volume of the parallelepiped.
Volume is
Find the other four vertices of the parallelepiped.
Vertices are
(Enter your answer as a comma-separated list of points.)
Point A is contained in three planar faces of the parallelepiped. Each of the other three faces of the parallelepiped is cortained in a plane. Find the distances between A and these three planes.
Distances are
(Enter your answer as a comma-separated list of numbers.)
Three planar faces of the parallelepiped meet at point A. Each of these faces is contained in a plane. Find the three acute pairwise angles between these three planes.
Angles are
(Enter your answer as a comma-separated list of numbers.)
Transcribed Image Text:Four of the vertices of a parallelepiped are A = (9, -5, -6), B = (15, -3, -12), C = (1, -12, -6), and D = (2, -9, 2). Three of the edges of the parallelepiped are AB, AC, and AD. Find the volume of the parallelepiped. Volume is Find the other four vertices of the parallelepiped. Vertices are (Enter your answer as a comma-separated list of points.) Point A is contained in three planar faces of the parallelepiped. Each of the other three faces of the parallelepiped is cortained in a plane. Find the distances between A and these three planes. Distances are (Enter your answer as a comma-separated list of numbers.) Three planar faces of the parallelepiped meet at point A. Each of these faces is contained in a plane. Find the three acute pairwise angles between these three planes. Angles are (Enter your answer as a comma-separated list of numbers.)
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