Height of Square Pyramid given Volume Calculator

✖Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.ⓘ Volume of Square Pyramid [V]			+10% -10%
✖Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.ⓘ Edge Length of Base of Square Pyramid [l_e(Base)]			+10% -10%

✖Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.ⓘ Height of Square Pyramid given Volume [h]

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Height of Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2)
h = (3*V)/(l_e(Base)^2)
This formula uses 3 Variables

Variables Used

Height of Square Pyramid - (Measured in Meter) - Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.
Volume of Square Pyramid - (Measured in Cubic Meter) - Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.
Edge Length of Base of Square Pyramid - (Measured in Meter) - Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Square Pyramid: 500 Cubic Meter --> 500 Cubic Meter No Conversion Required
Edge Length of Base of Square Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = (3*V)/(l_e(Base)^2) --> (3*500)/(10^2)

Evaluating ... ...

h = 15

STEP 3: Convert Result to Output's Unit

15 Meter --> No Conversion Required

FINAL ANSWER

15 Meter <-- Height of Square Pyramid

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< Height of Square Pyramid Calculators

Height of Square Pyramid given Base Angle

LaTeX Go Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid*cos(Base Angle of Square Pyramid)))

Height of Square Pyramid given Total Surface Area

LaTeX Go Height of Square Pyramid = sqrt((((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4)

Height of Square Pyramid given Lateral Edge Length

LaTeX Go Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)

Height of Square Pyramid given Slant Height

LaTeX Go Height of Square Pyramid = sqrt(Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)

< Important Formulas of Regular Square Pyramid Calculators

Base Angle of Square Pyramid

LaTeX Go Base Angle of Square Pyramid = arccos(((Edge Length of Base of Square Pyramid/2)^2+Slant Height of Square Pyramid^2-Height of Square Pyramid^2)/(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid))

Lateral Edge Length of Square Pyramid

LaTeX Go Lateral Edge Length of Square Pyramid = sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)

Slant Height of Square Pyramid

LaTeX Go Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)

Base Area of Square Pyramid

LaTeX Go Base Area of Square Pyramid = Edge Length of Base of Square Pyramid^2

Height of Square Pyramid given Volume Formula

LaTeX Go

Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2)
h = (3*V)/(l_e(Base)^2)

What is a Square Pyramid?

A Square Pyramid is a pyramid with a square base and four isosceles triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 isosceles triangular faces, and a square base. Also, It has 5 vertices and 8 edges.

How to Calculate Height of Square Pyramid given Volume?

Height of Square Pyramid given Volume calculator uses Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2) to calculate the Height of Square Pyramid, Height of Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Square Pyramid and is calculated using the volume of the Square Pyramid. Height of Square Pyramid is denoted by h symbol.

How to calculate Height of Square Pyramid given Volume using this online calculator? To use this online calculator for Height of Square Pyramid given Volume, enter Volume of Square Pyramid (V) & Edge Length of Base of Square Pyramid (l_e(Base)) and hit the calculate button. Here is how the Height of Square Pyramid given Volume calculation can be explained with given input values -> 15 = (3*500)/(10^2).

FAQ

What is Height of Square Pyramid given Volume?

Height of Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Square Pyramid and is calculated using the volume of the Square Pyramid and is represented as h = (3*V)/(l_e(Base)^2) or Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2). Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid & Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.

How to calculate Height of Square Pyramid given Volume?

Height of Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Square Pyramid and is calculated using the volume of the Square Pyramid is calculated using Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2). To calculate Height of Square Pyramid given Volume, you need Volume of Square Pyramid (V) & Edge Length of Base of Square Pyramid (l_e(Base)). With our tool, you need to enter the respective value for Volume of Square Pyramid & Edge Length of Base of 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 Height of Square Pyramid?

In this formula, Height of Square Pyramid uses Volume of Square Pyramid & Edge Length of Base of Square Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Square Pyramid = sqrt((((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4)
Height of Square Pyramid = sqrt(Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)
Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)

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