6. Pictured on the back of a $1 bill is the frustum of a square pyramid, the part of the pyramid included between its base and a plane parallel to its base. h The volume of the frustum is + ab + b³ where its dimensions are a, b, and it as shown on the figure. a) What does represent? b) What does a represent? c) What does the volume expression become if a=0? d) For what type of geometric solid does your answer to part e give the volume? e) What does the volume expression become ifa-b7 f) For what type of geometric solid does your answer to parte give the volume?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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6. Pictured on the back of a $1 bill is the frustum of
a square pyramid, the part of the pyramid
included between its base and a plane parallel to
its base.
b
The volume of the frustum is
+ ab + bh
(2²+4
h
where its dimensions are a, b, and has shown on
the figure.
a) What does represent?
b) What does a represent?
c) What does the volume expression become
ifa=0?
d) For what type of geometric solid does your
answer to part e give the volume?
e) What does the volume expression become
ifa-b7
f) For what type of geometric solid does your
answer to parte give the volume?
Transcribed Image Text:6. Pictured on the back of a $1 bill is the frustum of a square pyramid, the part of the pyramid included between its base and a plane parallel to its base. b The volume of the frustum is + ab + bh (2²+4 h where its dimensions are a, b, and has shown on the figure. a) What does represent? b) What does a represent? c) What does the volume expression become ifa=0? d) For what type of geometric solid does your answer to part e give the volume? e) What does the volume expression become ifa-b7 f) For what type of geometric solid does your answer to parte give the volume?
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