The following exercise is based upon the "uniqueness of volume." 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 = 90°, BC = 4 in., and CD = 7 in. (a) Find the volume (in cubic inches) of the pyramid. in3 (b) Find the length (in inches) of the altitude from vertex D to the base (AABC); note that AARC = 12 in?. in
The following exercise is based upon the "uniqueness of volume." 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 = 90°, BC = 4 in., and CD = 7 in. (a) Find the volume (in cubic inches) of the pyramid. in3 (b) Find the length (in inches) of the altitude from vertex D to the base (AABC); note that AARC = 12 in?. in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The following exercise is based upon the "uniqueness of volume."
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 = 90°, BC = 4 in., and CD = 7 in.
B
(a) Find the volume (in cubic inches) of the pyramid.
in3
(b) Find the length (in inches) of the altitude from vertex D to the base (AABC); note that AABC
= 12 in?.
in
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