Difference between revisions of "2018 AMC 10B Problems/Problem 10"
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==Solution== | ==Solution== | ||
− | Consider the cross-sectional plane. Note that <math>bh/2=3</math> and we want <math>bh/3</math>, so the answer is <math>2</math> (AOPS12142015) | + | Consider the cross-sectional plane. Note that <math>bh/2=3</math> and we want <math>bh/3</math>, so the answer is <math>\boxed{2}</math> (AOPS12142015) |
==See Also== | ==See Also== |
Revision as of 17:05, 16 February 2018
In the rectangular parallelpiped shown, =
,
=
, and
=
. Point
is the midpoint of
. What is the volume of the rectangular pyramid with base
and apex
?
Solution
Consider the cross-sectional plane. Note that and we want
, so the answer is
(AOPS12142015)
See Also
2018 AMC 10B (Problems • Answer Key • Resources) | ||
Preceded by Problem 9 |
Followed by Problem 11 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |
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