Final answer:
The formulas for the areas of regular 2D shapes are related to the volume formulas for regular 3D shapes. The relationship between a square pyramid and a square prism is that they have the same base shape and height. The relationship between a cone and a cylinder is that they have the same base shape and height.
Step-by-step explanation:
The formulas for the areas of regular 2D shapes such as squares, rectangles, triangles, and circles are related to the volume formulas for regular 3D shapes like square prisms, rectangular prisms, triangular prisms, and cylinders.
For example, the area of a square is side squared (A = s^2), and the volume of a square prism is the area of the base times the height (V = A * h). Similarly, the area of a circle is pi times the radius squared (A = πr^2), and the volume of a cylinder is the area of the base times the height (V = A * h).
The relationship between a square pyramid and a square prism is that they have the same base shape (a square) and the same height. However, the pyramid has a pyramid-shaped top, whereas the prism has a flat top.
The relationship between a cone and a cylinder is that they have the same base shape (a circle) and the same height. However, the cone tapers to a point at the top, whereas the cylinder has a flat top.