Difference between revisions of "2018 AMC 10B Problems/Problem 10"
Ishankhare (talk | contribs) (Created page with "In the rectangular parallelpiped shown, <math>AB</math> = 3, <math>BC</math> = 1, and <math>CG</math> = 2. Point <math>M</math> is the midpoint of <math>\overline{FG}</math>....") |
Ishankhare (talk | contribs) |
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Line 2: | Line 2: | ||
− | + | <asy> | |
size(250); | size(250); | ||
Line 19: | Line 19: | ||
draw(F--G); | draw(F--G); | ||
draw(A--D--H--C--D,dashed); | draw(A--D--H--C--D,dashed); | ||
− | label(" | + | label("$A$",A,SW); |
− | label(" | + | label("$B$",B,SE); |
− | label(" | + | label("$C$",C,E); |
− | label(" | + | label("$D$",D,W); |
− | label(" | + | label("$E$",E1,W); |
− | label(" | + | label("$F$",F,SW); |
− | label(" | + | label("$G$",G,NE); |
− | label(" | + | label("$H$",H,NW); |
− | label(" | + | label("$M$",M,N); |
dot(A); | dot(A); | ||
dot(B); | dot(B); | ||
Line 36: | Line 36: | ||
dot(D); | dot(D); | ||
dot(H); | dot(H); | ||
− | dot(M); | + | dot(M);</asy> |
<math>\textbf{(A) } 1 \qquad \textbf{(B) } \frac{4}{3} \qquad \textbf{(C) } \frac{3}{2} \qquad \textbf{(D) } \frac{5}{3} \qquad \textbf{(E) } 2</math> | <math>\textbf{(A) } 1 \qquad \textbf{(B) } \frac{4}{3} \qquad \textbf{(C) } \frac{3}{2} \qquad \textbf{(D) } \frac{5}{3} \qquad \textbf{(E) } 2</math> |
Revision as of 15:31, 16 February 2018
In the rectangular parallelpiped shown, = 3,
= 1, and
= 2. Point
is the midpoint of
. What is the volume of the rectangular pyramid with base
and apex
?