When 3 or more triangular faces share a common vertex and make a Geometry, which is called as a pyramid. The base of a pyramid may be any triangle shape, square shape or any other Polygon shape. If base of pyramid have triangle shape, then the given pyramid has 4 faces. Pyramid is a simplest polyhedron, which is also called as a tetrahedron. The shape of pyramid is taking from famous ancient Egyptian pyramids. Each pyramid has only one base and the other faces are all congruent Triangles and all Congruent Triangles share a common vertex, which is the top Point. Now we discuss formulas of pyramids for calculating volume and surface area of pyramids–
Volume of pyramids = (1 / 3) * B * H,
Where ‘B’ is the base of pyramid and H is the height of pyramids.
Surface area of pyramid = B + (1 / 2) * P * l,
Here ‘B’ is base length, ‘P’ is perimeter and l is a side length of pyramid.
Now we discuss types of pyramids:
There are following types of pyramids–
Triangular pyramid – A pyramid, which has 4 faces and which base made a triangle shape is called as a triangular pyramid. All 3 side faces of triangular pyramid made a triangular shape, which is also another property of triangular pyramid.
Square pyramid - A pyramid, which has 5 faces and which base made a Square shape is called as a square pyramid. All 4 side faces of square pyramid made a triangle shape, that’s why we call this pyramid as a square pyramid.
Pentagonal pyramid - A pyramid, which has 6 faces and which base made a pentagonal shape is called as a pentagonal pyramid. All 5 side faces of square pyramid made a triangle shape, that’s why we call this pyramid as a pentagonal pyramid.
These are 3 types of pyramids, which are define in geometry and each pyramid has their different property like right and oblique pyramid or regular and irregular pyramid. All these pyramids are depending on their shapes.
The lateral surface area of a pyramid is defined as the sum of all the areas of the given faces. The formula for finding the lateral surface area of a pyramid is: The lateral surface area of a pyramid = ½ * p * l;
If we find lateral surface area of pyramid with a triangular base then the formula is:
The lateral surface area of a pyramid = ½ * p * l;
We see some of t...Read More
The total surface area of a pyramid is defined as the sum of all the areas of the given faces and including base value in it. The formula for finding the total surface area of a pyramid is:
The total surface area of pyramid = area of the base + 4 * area of triangular face;
The number of a triangular faces depend upon the number of the sides of the base.
If we find ...Read More
The volume of a pyramid is the sum of the bases and the height of a pyramid and both base and height are multiplied by 1/3. The formula for finding the volume of a pyramid is:
The volume of pyramid = area of the base * height * 1/3;
The volume of a pyramid = 1/3 * area of the base * height.
If we find the volume pyramid with a rectangular base then the formula is:...Read More
Pyramid is a Solid object where the base of a pyramid is a Polygon and all sides of a pyramid is triangle which joins at the top Point. Now we discuss about Pentagonal Pyramids, it can be defined as " A pentagonal base, which has triangular faces, and all faces meet at a point is known as Pentagonal Pyramids". Now we will see some properties of Pentagonal Pyramids wh...Read More