A tetrahedron (not rectangular) has vertices at A, B, C, and D. The length of the altitude from A to the base (ABCD) measures 6 in. It is given that mZBCD BC = 4 in., and CD a) Find the volume of the pyramid. b) Find the length of the altitude from vertex D to the base (AABC); note that AABC = 12 in?. 90; 8 in. A В D

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 23E
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A tetrahedron (not rectangular) has vertices at A, B, C, and
D. The length of the altitude from A to the base (ABCD)
measures 6 in. It is given that mZBCD
BC = 4 in., and CD
a) Find the volume of the pyramid.
b) Find the length of the altitude from vertex D to the
base (AABC); note that AABC = 12 in?.
90;
8 in.
A
В
D
Transcribed Image Text:A tetrahedron (not rectangular) has vertices at A, B, C, and D. The length of the altitude from A to the base (ABCD) measures 6 in. It is given that mZBCD BC = 4 in., and CD a) Find the volume of the pyramid. b) Find the length of the altitude from vertex D to the base (AABC); note that AABC = 12 in?. 90; 8 in. A В D
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