Pyramid Definition:
A pyramid is a polyhedron with one face as base, a polygon and all the other faces triangles
meeting at a common polygon vertex as the apex.
Triangular Pyramid Definition:
A Triangular Pyramid is a pyramid having a triangular base.
Triangular Pyramid Formula:
Area of Base(A) = ½ * a * s
Surface Area of Pyramid = (½ * a * s) + ((3/2)sl) = A + ((3/2)sl)
Volume of Pyramid = (1/6)abh
where
a = apothem length, s,b = side, h = height and l = slant height
Triangular Pyramid Image/Diagram
Triangular Pyramid Example:
Case 1: Find the surface area and volume of a triangular pyramid with the given apothem length 2, side 3, height 4 and the
slant height 5.
Step 1: Find the area of the base.
Area of the base(A) = ½ * a * s = 0.5 * 2 * 3 = 3.
Step 2: Find the surface area of pyramid.
Surface Area of Pyramid = A + ((3/2)sl) = 3 + ((3/2) * 3 * 5) = 3 + (1.5 * 15)
= 3 + 22.5 = 25.5.
Step 3: Find the volume of pyramid.
Volume of Pyramid = (1/6)abh = (1/6) * 2 * 3 * 4 = 0.17 * 24 = 4.08.
The above example will clearly illustrates how to calculate the Volume, Surface Area of a Triangular Pyramid manually.
This tutorial will help you dynamically to find the Math area problems.
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