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

✖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.ⓘ SA:V of Elongated Square Pyramid [AV]

+10%

-10%

✖Total Surface Area of Elongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid.ⓘ Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Total Surface Area of Elongated Square Pyramid - (Measured in Square Meter) - Total Surface Area of Elongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid.
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.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Square Pyramid: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*AV))^2 --> (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*0.5))^2

Evaluating ... ...

TSA = 799.234944558226

STEP 3: Convert Result to Output's Unit

799.234944558226 Square Meter --> No Conversion Required

FINAL ANSWER

799.234944558226 ≈ 799.2349 Square Meter <-- Total Surface Area of Elongated Square Pyramid

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Surface Area of Elongated Square Pyramid Calculators

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

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

Total Surface Area of Elongated Square Pyramid given Volume

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

Total Surface Area of Elongated Square Pyramid given Height

LaTeX Go Total Surface Area of Elongated Square Pyramid = (5+sqrt(3))*(Height of Elongated Square Pyramid/(1/sqrt(2)+1))^2

Total Surface Area of Elongated Square Pyramid

LaTeX Go Total Surface Area of Elongated Square Pyramid = (5+sqrt(3))*Edge Length of Elongated Square Pyramid^2

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

LaTeX Go

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

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

Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio calculator uses Total Surface Area of Elongated Square Pyramid = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid))^2 to calculate the Total Surface Area of Elongated Square Pyramid, The Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid. Total Surface Area of Elongated Square Pyramid is denoted by TSA symbol.

How to calculate Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio, enter SA:V of Elongated Square Pyramid (AV) and hit the calculate button. Here is how the Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio calculation can be explained with given input values -> 799.2349 = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*0.5))^2.

FAQ

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

The Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid and is represented as TSA = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*AV))^2 or Total Surface Area of Elongated Square Pyramid = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid))^2. 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.

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

The Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Elongated Square Pyramid and is calculated using the surface to volume ratio of the Elongated Square Pyramid is calculated using Total Surface Area of Elongated Square Pyramid = (5+sqrt(3))*((5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid))^2. To calculate Total Surface Area of Elongated Square Pyramid given Surface to Volume Ratio, you need SA:V of Elongated Square Pyramid (AV). With our tool, you need to enter the respective value for SA:V 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 Total Surface Area of Elongated Square Pyramid?

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

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

Home

FREE PDFs

🔍 Search