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1. Sphere, 2. Hemisphere, 3. Cylinder, 4. Cone
The geometric shape that would almost match those characteristics is a triangular pyramid, as it would have four faces rather than three
They are characteristics of geometric shapes. However, there is no simple relationship. A rectangle with a given perimeter can have a whole range of areas.
Nobody invented it. It is a simple geometric shape, whose only characteristics are that it is a plane shape and that it is bounded by nine straight lines.
A rhombus and a trapezoid do not make a specific shape together. They are two separate geometric shapes with different properties and characteristics.