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 = 6 in., and CD = 9 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 = 18 in?. in

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 9A
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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 = 6 in., and CD = 9 in.
A
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
18 in?.
in
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 = 6 in., and CD = 9 in. A 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 18 in?. in
A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be covered corresponds to the lateral area of the square pyramid.
25 ft
14 ft
14 ft
If each lateral edge measures 25 ft and each base edge measures 14 ft, how many square feet of shingles need to be replaced?
ft?
Transcribed Image Text:A church steeple in the shape of a regular square pyramid needs to be reshingled. The part to be covered corresponds to the lateral area of the square pyramid. 25 ft 14 ft 14 ft If each lateral edge measures 25 ft and each base edge measures 14 ft, how many square feet of shingles need to be replaced? ft?
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