Surface to Volume Ratio of Square Pyramid given Lateral Edge Length Calculator

✖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%
✖Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.ⓘ Lateral Edge Length of Square Pyramid [l_e(Lateral)]			+10% -10%

✖Surface to Volume Ratio of Square Pyramid is the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid.ⓘ Surface to Volume Ratio of Square Pyramid given Lateral Edge Length [R_A/V]

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Surface to Volume Ratio of Square Pyramid given Lateral Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2))
R_A/V = (l_e(Base)^2+(l_e(Base)*sqrt((4*l_e(Lateral)^2)-l_e(Base)^2)))/(1/3*l_e(Base)^2*sqrt(l_e(Lateral)^2-(l_e(Base)^2)/2))
This formula uses 1 Functions, 3 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

Surface to Volume Ratio of Square Pyramid - (Measured in 1 per Meter) - Surface to Volume Ratio of Square Pyramid is the numerical ratio of the total surface area of the Square Pyramid to the volume 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.
Lateral Edge Length of Square Pyramid - (Measured in Meter) - Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
Lateral Edge Length of Square Pyramid: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (l_e(Base)^2+(l_e(Base)*sqrt((4*l_e(Lateral)^2)-l_e(Base)^2)))/(1/3*l_e(Base)^2*sqrt(l_e(Lateral)^2-(l_e(Base)^2)/2)) --> (10^2+(10*sqrt((4*17^2)-10^2)))/(1/3*10^2*sqrt(17^2-(10^2)/2))

Evaluating ... ...

R_A/V = 0.824654299355251

STEP 3: Convert Result to Output's Unit

0.824654299355251 1 per Meter --> No Conversion Required

FINAL ANSWER

0.824654299355251 ≈ 0.824654 1 per Meter <-- Surface to Volume Ratio of Square Pyramid

(Calculation completed in 00.020 seconds)

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< Surface to Volume Ratio of Square Pyramid Calculators

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length and Height

LaTeX Go Surface to Volume Ratio of Square Pyramid = ((2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))))/(1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)))

Surface to Volume Ratio of Square Pyramid given Slant Height and Height

LaTeX Go Surface to Volume Ratio of Square Pyramid = ((4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))+(4*Slant Height of Square Pyramid*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)))/(4/3*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)*Height of Square Pyramid)

Surface to Volume Ratio of Square Pyramid given Slant Height

LaTeX Go Surface to Volume Ratio of Square Pyramid = ((2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2)/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-Edge Length of Base of Square Pyramid^2/4))

Surface to Volume Ratio of Square Pyramid

LaTeX Go Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*Height of Square Pyramid)

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length Formula

LaTeX Go

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 Surface to Volume Ratio of Square Pyramid given Lateral Edge Length?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length calculator uses Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)) to calculate the Surface to Volume Ratio of Square Pyramid, Surface to Volume Ratio of Square Pyramid given Lateral Edge Length formula is defined as the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid. Surface to Volume Ratio of Square Pyramid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length using this online calculator? To use this online calculator for Surface to Volume Ratio of Square Pyramid given Lateral Edge Length, enter Edge Length of Base of Square Pyramid (l_e(Base)) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) and hit the calculate button. Here is how the Surface to Volume Ratio of Square Pyramid given Lateral Edge Length calculation can be explained with given input values -> 0.824654 = (10^2+(10*sqrt((4*17^2)-10^2)))/(1/3*10^2*sqrt(17^2-(10^2)/2)).

FAQ

What is Surface to Volume Ratio of Square Pyramid given Lateral Edge Length?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length formula is defined as the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid and is represented as R_A/V = (l_e(Base)^2+(l_e(Base)*sqrt((4*l_e(Lateral)^2)-l_e(Base)^2)))/(1/3*l_e(Base)^2*sqrt(l_e(Lateral)^2-(l_e(Base)^2)/2)) or Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)). 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 & Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

How to calculate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length?

Surface to Volume Ratio of Square Pyramid given Lateral Edge Length formula is defined as the numerical ratio of the total surface area of the Square Pyramid to the volume of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid is calculated using Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Lateral Edge Length of Square Pyramid^2)-Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)). To calculate Surface to Volume Ratio of Square Pyramid given Lateral Edge Length, you need Edge Length of Base of Square Pyramid (l_e(Base)) & Lateral Edge Length of Square Pyramid (l_e(Lateral)). With our tool, you need to enter the respective value for Edge Length of Base of Square Pyramid & Lateral Edge Length 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 Surface to Volume Ratio of Square Pyramid?

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

Surface to Volume Ratio of Square Pyramid = (Edge Length of Base of Square Pyramid^2+(Edge Length of Base of Square Pyramid*sqrt((4*Height of Square Pyramid^2)+Edge Length of Base of Square Pyramid^2)))/(1/3*Edge Length of Base of Square Pyramid^2*Height of Square Pyramid)
Surface to Volume Ratio of Square Pyramid = ((2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid)+Edge Length of Base of Square Pyramid^2)/(1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-Edge Length of Base of Square Pyramid^2/4))
Surface to Volume Ratio of Square Pyramid = ((4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))+(4*Slant Height of Square Pyramid*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)))/(4/3*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)*Height of Square Pyramid)

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