Long description: Fig363_6
Alt text: A three-dimensional diagram illustrating the volume of a solid bounded by planes in the first octant, with labeled axes for x, y, and z.
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- The image displays a three-dimensional coordinate system with labeled axes: x, y, and z.
- A solid shape, shaded light gray, is depicted within the first octant.
- The vertices of the solid suggest it is a wedge or a triangular prism lying flat in the xy-plane, extending up to a height defined by the z-axis.
- The dimensions labeled along the axes indicate the boundaries of the solid: the solid extends \(400\) units along the y-axis, \(-40\) units along the x-axis (although the solid itself is drawn primarily in the positive quadrant relative to the z-axis depth), and \(100\) units along the z-axis.
- Lines drawn parallel to the axes define the boundaries of the space occupied by the solid, suggesting integration limits for calculating a volume.