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The study of shapes in three-dimensional space.
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A space figure is a figure or shape in 3-dimensional space. It could be solid but it need not be: for example, it could be a wriggly line drawn on the surface of a sphere.
Volume is the space that an object occupies (or that it would occupy if it were to exist in the physical world rather than just as a concept).
Yes, in geometry, the concept of space includes three dimensions: length, width, and height. Soils, as physical entities found on Earth, also exist in three dimensions. This means that soils have depth, width, and length, making them three-dimensional objects.