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> | + | 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) |
Revision as of 14:54, 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)