Volume of Equilateral Square Pyramid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3
V = (2/3)*h^3
This formula uses 2 Variables
Variables Used
Volume of Equilateral Square Pyramid - (Measured in Cubic Meter) - Volume of Equilateral Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid.
Height of Equilateral Square Pyramid - (Measured in Meter) - Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.
STEP 1: Convert Input(s) to Base Unit
Height of Equilateral Square Pyramid: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (2/3)*h^3 --> (2/3)*7^3
Evaluating ... ...
V = 228.666666666667
STEP 3: Convert Result to Output's Unit
228.666666666667 Cubic Meter --> No Conversion Required
FINAL ANSWER
228.666666666667 228.6667 Cubic Meter <-- Volume of Equilateral Square Pyramid
(Calculation completed in 00.004 seconds)

Credits

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Created by Surjojoti Som
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
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Verified by Harsh Raj
Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
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10+ Equilateral Square Pyramid Calculators

Volume of Equilateral Square Pyramid given Surface Area
​ Go Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2)
Height of Equilateral Pyramid given TSA
​ Go Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
Edge Length of Equilateral Square Pyramid given Surface Area
​ Go Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
Total Surface Area of Equilateral Square Pyramid
​ Go Total Surface Area of Equilateral Square Pyramid = (1+sqrt(3))*Edge Length of Equilateral Square Pyramid^2
Edge Length of Equilateral Square Pyramid given Volume
​ Go Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)
Volume of Equilateral Square Pyramid
​ Go Volume of Equilateral Square Pyramid = sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3
Edge Length of Equilateral Square Pyramid given Height
​ Go Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)
Height of Equilateral Square Pyramid
​ Go Height of Equilateral Square Pyramid = Edge Length of Equilateral Square Pyramid/sqrt(2)
Height of Equilateral Square Pyramid given Volume
​ Go Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3)
Volume of Equilateral Square Pyramid given Height
​ Go Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3

Volume of Equilateral Square Pyramid given Height Formula

Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3
V = (2/3)*h^3

What is an Equilateral Square Pyramid?

An Equilateral Square Pyramid is a pyramid with a square base and four equilateral triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 equilateral triangular faces and a square base. Also, It has 5 vertices and 8 edges. It is a square pyramid whose lateral faces are equilateral triangles, which implies all the edges of are of equal length.

How to Calculate Volume of Equilateral Square Pyramid given Height?

Volume of Equilateral Square Pyramid given Height calculator uses Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3 to calculate the Volume of Equilateral Square Pyramid, The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid. Volume of Equilateral Square Pyramid is denoted by V symbol.

How to calculate Volume of Equilateral Square Pyramid given Height using this online calculator? To use this online calculator for Volume of Equilateral Square Pyramid given Height, enter Height of Equilateral Square Pyramid (h) and hit the calculate button. Here is how the Volume of Equilateral Square Pyramid given Height calculation can be explained with given input values -> 228.6667 = (2/3)*7^3.

FAQ

What is Volume of Equilateral Square Pyramid given Height?
The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid and is represented as V = (2/3)*h^3 or Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3. Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.
How to calculate Volume of Equilateral Square Pyramid given Height?
The Volume of Equilateral Square Pyramid given Height formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Equilateral Square Pyramid is calculated using Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3. To calculate Volume of Equilateral Square Pyramid given Height, you need Height of Equilateral Square Pyramid (h). With our tool, you need to enter the respective value for Height of Equilateral Square Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Volume of Equilateral Square Pyramid?
In this formula, Volume of Equilateral Square Pyramid uses Height of Equilateral Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Volume of Equilateral Square Pyramid = sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3
  • Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2)
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