The volume of an object is described as three-dimensional space it takes up, but it's probably better to think of it as the volume of water, gas, or other substance it can hold. In any case, when presented with a square-based pyramid – such as the Egyptian pyramids – you can calculate its volume using a simple equation that needs the pyramid's height and one side's length along the foundation.
Let’s learn How to Find the Square Pyramid Volume?
The volume contained between the five edges of a square pyramid is referred to as its volume. A volume of a square pyramid is one among the product of the base's area and the pyramid's altitude.
As a result,
volume = (1/3) (Base Area) (Height).
The quantity of unit cubes that can be into the square pyramid volume is measured in "cubic units." Mainly it is written as m3, cm3, in3, and so on.
Moreover, this pyramid is a five-sided 3D shape. A polyhedron (pentahedron) is basically based on four triangles and a square base that is attached to a vertex as shown. It has a square base and triangle side faces with a shared vertex. There are three parts to a square pyramid:
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Here we will learn about the square pyramid. Here how we have solved the square pyramid volume can be easily found out if you know the base area and its height, here is the formula that should be considered:
The volume of a square pyramid = (1/3) Base Area × Height
What if we considered a usual type of square pyramid which includes equilateral triangles of sid ‘b’
Here is how we explained the formula:
The formula of a regular square pyramid volume = 1/3 × b2 × h
All the pyramids are categorized based on their bases, such as:
The volume of a square pyramid is calculated using (1/3) Base Area Height, as we learnt in the previous section. Follow the steps below if you find the right way to calculate a square pyramid:
Step 1: Using the provided data, take note of the pyramid's dimensions, such as the base area and height.
Step 2: You need to multiply the area of the base by (1/3), then multiply by height.
Step 3: Use cubic units to get the final answer.
Then, we've studied the volume of a square pyramid, let's look at some solved cases to help us comprehend it better.
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A square pyramid has the following characteristics:
Square pyramids can be classified into the following:
If most of the edges have the same length, the edges that are included in equilateral triangles, and the pyramid is a square pyramid.
A single edge-length parameter l will be used to classify the Johnson square pyramids. The h stands for height; A represents the surface area, and volume V in the pyramid looks like:
All of the lateral sides of right squares pyramids are generally the same in length, and its sides besides the bottom are equivalent isosceles triangles.
The equation for surface area and volume of a right square pyramid with a base length of l and a height of h is:
When we place the three-dimensional figure surface to horizontal, revealing each aspect of the figure, a net of a 3D shape is formed. Several nets can exist in a solid.
The square pyramid's net would level the vision, revealing all of the faces. When the net of the square pyramid is folded, the original 3d shape is revealed.
The following steps are followed to see if a net makes a solid:
If you are stuck with the ways to find the Volume of a Square Pyramid then this guide may help you in clearing your doubts and solving the assignment queries!