Compare and contrast area and volume.
Answer (2)
Area is a region bounded by a CLOSED path, curved path or path with line segments. Area is usually a two dimensional physical quantity, a designated part on a plane. An example the surface of a table, face of a wall or a ceiling. It can also be a surface in 3-dimensions. Its units are meter² or centimeter² or feet² etc. A large agricultural field is a good example of an area. Normally and ideally no object can reside or exist with in an area. An object requires a volume. It is a collection of all points enclosed or bounded by the boundary or closed path. It does not have any thickness.
Volume is a 3-dimensional quantity. A physical body occupies space with its material components. It is the amount of space occupied, that is its volume. Any existing body occupying some space has a mass and volume. A mass having a volume, has surface area and thickness, a height perpendicular to its surface at each point on the surface. It is expressed as meter³, feet³ etc. Volume is a product of surface area (cross-section) and length - for example for a wire or rod.
Area measures the two-dimensional space within shapes and is expressed in square units, while volume measures the three-dimensional space occupied by objects and is expressed in cubic units. Both concepts can be calculated using specific formulas depending on the shape in question. Recognizing these differences is essential for various real-world applications, such as gardening and capacity measurement.
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