<PRE><B>Question 1198370</B>
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Both pyramids have the same height, so the answer depends only on the areas of the bases of the two pyramids.  Those bases are parallelogram ABCD and triangle LCK.&lt;br&gt;
Triangles CLK and ALD are similar; and CK is half the length of AD.  So the two triangles are similar with a ratio of 1:2.&lt;br&gt;
So the base of triangle CLK is half the base of triangle ALD.&lt;br&gt;
Furthermore, since the ratio of similarity of the two triangles is 1:2, the altitude of triangle CLK is one-third the height of parallelogram ABCD.&lt;br&gt;
So the area of triangle CLK is (1/2)*(1/3) = 1/6 the area of ABCD.&lt;br&gt;
Then, since the heights of the two pyramids are the same, the volume of pyramid V-LCK is 1/6 the volume of pyramid V-ABCD.&lt;br&gt;
ANSWER: The volume of V-ABCD is 6 times the volume of V-LCK.&lt;br&gt;

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