Volume of Rectangular Based Pyramid | Geometry of Shapes | Mensuration | Square | Cone | Triangular

Here we will learn about 3D shape pyramids of squares, rectangles and cones, including their names and properties, surface area and volume, and plans and elevations.

The surface area is the area that describes the material that will be used to cover a geometric solid. When we determine the surface areas of a geometric solid we take the sum of the area for each geometric form within the solid.

The volume is a measure of how much a figure can hold and is measured in cubic units. The volume tells us something about the capacity of a figure.

A prism is a solid figure that has two parallel congruent sides that are called bases that are connected by the lateral faces that are parallelograms. There are both rectangular and triangular prisms.

The surface area of a cone is thus the sum of the areas of the base and the lateral surface: A=πr2+πrl.

The volume of a cone is one third of the volume of a cylinder.
V=1/3⋅π⋅r2⋅h

All triangular faces will have the same height but might not have the same base (if it is a rectangle-based pyramid, for example).

Introduction to rectangular, square and cone pyramid volumes
Parts of a pyramid
Volume formulas for pyramids
Applying the volume of a pyramid formula
Circular based pyramid is the same as a cone with formulas
Comparing the volumes of square and circular based pyramid

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