Changing the shape of an object and changing its dimensions are related concepts but refer to different aspects of an object's characteristics. Here's a breakdown of the difference between the two:
Changing the Shape: Changing the shape of an object involves altering its external form or configuration while maintaining its overall size or dimensions. This means that the object's proportions and arrangement of its parts are modified, but the overall scale or size of the object remains unchanged. For example, if you take a rectangular piece of paper and fold it to form a paper airplane, you have changed the shape of the paper without changing its dimensions.
In essence, changing the shape focuses on the arrangement, configuration, or topology of the object, without affecting its overall size or measurements.
Changing the Dimensions: Changing the dimensions of an object refers to altering its size or scale, typically by adjusting one or more of its measurable quantities such as length, width, height, or diameter. It involves changing the values of the physical parameters that describe the object's size. For instance, if you stretch a rubber band to make it longer or inflate a balloon to increase its volume, you have changed the dimensions of these objects.
Modifying the dimensions of an object involves altering its measurable physical quantities, which can include linear measurements, area, volume, or other relevant parameters.
In summary, changing the shape of an object focuses on rearranging or transforming its external form while keeping the overall size constant, while changing the dimensions of an object involves altering its size or scale by adjusting its measurable physical quantities.