Surface to Volume Ratio of Elongated Square Pyramid given Volume Calculator

✖Volume of Elongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Pyramid.ⓘ Volume of Elongated Square Pyramid [V]

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✖SA:V of Elongated Square Pyramid is the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid.ⓘ Surface to Volume Ratio of Elongated Square Pyramid given Volume [AV]

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Surface to Volume Ratio of Elongated Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3))
AV = (5+sqrt(3))/((1+sqrt(2)/6)*(V/(1+sqrt(2)/6))^(1/3))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

SA:V of Elongated Square Pyramid - (Measured in 1 per Meter) - SA:V of Elongated Square Pyramid is the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid.
Volume of Elongated Square Pyramid - (Measured in Cubic Meter) - Volume of Elongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Square Pyramid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = (5+sqrt(3))/((1+sqrt(2)/6)*(V/(1+sqrt(2)/6))^(1/3)) --> (5+sqrt(3))/((1+sqrt(2)/6)*(1200/(1+sqrt(2)/6))^(1/3))

Evaluating ... ...

AV = 0.550145724599852

STEP 3: Convert Result to Output's Unit

0.550145724599852 1 per Meter --> No Conversion Required

FINAL ANSWER

0.550145724599852 ≈ 0.550146 1 per Meter <-- SA:V of Elongated Square Pyramid

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Pyramid » Elongated Square Pyramid » Surface to Volume Ratio of Elongated Square Pyramid » Surface to Volume Ratio of Elongated Square Pyramid given Volume

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Surface to Volume Ratio of Elongated Square Pyramid Calculators

Surface to Volume Ratio of Elongated Square Pyramid given Total Surface Area

LaTeX Go SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3))))

Surface to Volume Ratio of Elongated Square Pyramid given Volume

LaTeX Go SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3))

Surface to Volume Ratio of Elongated Square Pyramid given Height

LaTeX Go SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*Height of Elongated Square Pyramid/(1/sqrt(2)+1))

Surface to Volume Ratio of Elongated Square Pyramid

LaTeX Go SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*Edge Length of Elongated Square Pyramid)

Surface to Volume Ratio of Elongated Square Pyramid given Volume Formula

LaTeX Go

SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3))
AV = (5+sqrt(3))/((1+sqrt(2)/6)*(V/(1+sqrt(2)/6))^(1/3))

What is an Elongated Square Pyramid?

The Elongated Square Pyramid is a regular pentahedron with a matching regular cube attached to one face, which is the Johnson solid generally denoted by J8. It consists of 9 faces which include 4 equilateral triangles as pyramid faces, 4 squares as side surfaces, and another square as the base surface. Also, It has 16 edges and 9 vertices.

How to Calculate Surface to Volume Ratio of Elongated Square Pyramid given Volume?

Surface to Volume Ratio of Elongated Square Pyramid given Volume calculator uses SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)) to calculate the SA:V of Elongated Square Pyramid, The Surface to Volume Ratio of Elongated Square Pyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid. SA:V of Elongated Square Pyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Square Pyramid given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Square Pyramid given Volume, enter Volume of Elongated Square Pyramid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Square Pyramid given Volume calculation can be explained with given input values -> 0.550146 = (5+sqrt(3))/((1+sqrt(2)/6)*(1200/(1+sqrt(2)/6))^(1/3)).

FAQ

What is Surface to Volume Ratio of Elongated Square Pyramid given Volume?

The Surface to Volume Ratio of Elongated Square Pyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid and is represented as AV = (5+sqrt(3))/((1+sqrt(2)/6)*(V/(1+sqrt(2)/6))^(1/3)) or SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)). Volume of Elongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Pyramid.

How to calculate Surface to Volume Ratio of Elongated Square Pyramid given Volume?

The Surface to Volume Ratio of Elongated Square Pyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Square Pyramid to the volume of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid is calculated using SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*(Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)). To calculate Surface to Volume Ratio of Elongated Square Pyramid given Volume, you need Volume of Elongated Square Pyramid (V). With our tool, you need to enter the respective value for Volume of Elongated 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 SA:V of Elongated Square Pyramid?

In this formula, SA:V of Elongated Square Pyramid uses Volume of Elongated Square Pyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*Edge Length of Elongated Square Pyramid)
SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*Height of Elongated Square Pyramid/(1/sqrt(2)+1))
SA:V of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3))))

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