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Volume of a square pyramid formula Online - Tutorpace

# Volume of a square pyramid formula

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A square pyramid is one of the different kinds of pyramids, and it consists of a square base. The topmost point of the pyramid is known as the ‘apex’ or the ‘vertex’, and the line drawn joining the vertex of the pyramid to the center of the square base is the height of the pyramid. Volume of a square pyramid is the amount of space contained inside it and it is equal to one-third the product of the area of the square base and the height of the pyramid.

Example 1:  Estimate the volume of a square pyramid whose base length is 1.5m and the height is 4m?

Given base length of the pyramid, b = 1.5m
Height of the pyramid, h = 4m
Volume of the square pyramid, V = 1/3 * Area of the square base * height
Area of the square base = b2 = (1.5m)2 = 2.25m2
Volume of the square pyramid, V = 1/3 * 2.25m 2 * 4m = 3m3
Therefore, volume of the given square pyramid, V = 3m3

Example 2: Estimate the volume of a square pyramid whose base length is 2.4m and the height is 3.6m?

Given base length of the pyramid, b = 2.4m
Height of the pyramid, h = 3.6m
Volume of the square pyramid, V = 1/3 * Area of the square base * height
Area of the square base = b2 = (2.4m)2 = 5.76m2
Volume of the square pyramid, V = 1/3 * 5.76m 2 * 3.6m = 6.912m3
Therefore, volume of the given square pyramid, V = 6.912m3