Posted by Jack on Sunday, November 21, 2010 at 8:20pm.
We do not see the figure, but could probably help anyway.
Along whichever axis you do the integration, the method is to cut up the volume into slices perpendicular to the x-axis, say. Each slice is of thickness dx and the width and height will be a function of y and z, which should in turn be transformed to a function of x. Do the integration along the x-axis and find the volume.
You can proceed in a similar way along the two other axes. The resulting volumes should, of course, be identical.
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