Surface to Volume Ratio of Regular Bipyramid Calculator

✖Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid.ⓘ Number of Base Vertices of Regular Bipyramid [n]			+10% -10%
✖Half Height of Regular Bipyramid is the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid.ⓘ Half Height of Regular Bipyramid [h_Half]			+10% -10%
✖Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.ⓘ Edge Length of Base of Regular Bipyramid [l_e(Base)]			+10% -10%

✖Surface to Volume Ratio of Regular Bipyramid is the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid.ⓘ Surface to Volume Ratio of Regular Bipyramid [R_A/V]

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Surface to Volume Ratio of Regular Bipyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid)
R_A/V = (4*tan(pi/n)*sqrt(h_Half^2+(1/4*l_e(Base)^2*(cot(pi/n))^2)))/(2/3*l_e(Base)*h_Half)
This formula uses 1 Constants, 3 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)
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 Regular Bipyramid - (Measured in 1 per Meter) - Surface to Volume Ratio of Regular Bipyramid is the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid.
Number of Base Vertices of Regular Bipyramid - Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid.
Half Height of Regular Bipyramid - (Measured in Meter) - Half Height of Regular Bipyramid is the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid.
Edge Length of Base of Regular Bipyramid - (Measured in Meter) - Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Number of Base Vertices of Regular Bipyramid: 4 --> No Conversion Required
Half Height of Regular Bipyramid: 7 Meter --> 7 Meter No Conversion Required
Edge Length of Base of Regular Bipyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (4*tan(pi/n)*sqrt(h_Half^2+(1/4*l_e(Base)^2*(cot(pi/n))^2)))/(2/3*l_e(Base)*h_Half) --> (4*tan(pi/4)*sqrt(7^2+(1/4*10^2*(cot(pi/4))^2)))/(2/3*10*7)

Evaluating ... ...

R_A/V = 0.737342165746511

STEP 3: Convert Result to Output's Unit

0.737342165746511 1 per Meter --> No Conversion Required

FINAL ANSWER

0.737342165746511 ≈ 0.737342 1 per Meter <-- Surface to Volume Ratio of Regular Bipyramid

(Calculation completed in 00.004 seconds)

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< Volume and Surface to Volume Ratio of Regular Bipyramid Calculators

Surface to Volume Ratio of Regular Bipyramid given Total Height

LaTeX Go Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt((Total Height of Regular Bipyramid/2)^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid)

Surface to Volume Ratio of Regular Bipyramid

LaTeX Go Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid)

Volume of Regular Bipyramid given Total Height

LaTeX Go Volume of Regular Bipyramid = (1/3*Number of Base Vertices of Regular Bipyramid*Total Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))

Volume of Regular Bipyramid

LaTeX Go Volume of Regular Bipyramid = (2/3*Number of Base Vertices of Regular Bipyramid*Half Height of Regular Bipyramid*Edge Length of Base of Regular Bipyramid^2)/(4*tan(pi/Number of Base Vertices of Regular Bipyramid))

Surface to Volume Ratio of Regular Bipyramid Formula

LaTeX Go

What is a Regular Bipyramid?

A Regular Bipyramid is a regular pyramid with its mirror image attached at its base. It is made of two N-gon-based pyramids that are stuck together at their bases. It consists of 2N faces which are all isosceles triangles. Also, It has 3N edges and N+2 vertices.

How to Calculate Surface to Volume Ratio of Regular Bipyramid?

Surface to Volume Ratio of Regular Bipyramid calculator uses Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid) to calculate the Surface to Volume Ratio of Regular Bipyramid, Surface to Volume Ratio of Regular Bipyramid formula is defined as the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid. Surface to Volume Ratio of Regular Bipyramid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Regular Bipyramid using this online calculator? To use this online calculator for Surface to Volume Ratio of Regular Bipyramid, enter Number of Base Vertices of Regular Bipyramid (n), Half Height of Regular Bipyramid (h_Half) & Edge Length of Base of Regular Bipyramid (l_e(Base)) and hit the calculate button. Here is how the Surface to Volume Ratio of Regular Bipyramid calculation can be explained with given input values -> 0.737342 = (4*tan(pi/4)*sqrt(7^2+(1/4*10^2*(cot(pi/4))^2)))/(2/3*10*7).

FAQ

What is Surface to Volume Ratio of Regular Bipyramid?

Surface to Volume Ratio of Regular Bipyramid formula is defined as the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid and is represented as R_A/V = (4*tan(pi/n)*sqrt(h_Half^2+(1/4*l_e(Base)^2*(cot(pi/n))^2)))/(2/3*l_e(Base)*h_Half) or Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid). Number of Base Vertices of Regular Bipyramid are the number of base vertices of a Regular Bipyramid, Half Height of Regular Bipyramid is the total length of the perpendicular from the apex to the base of any one of the pyramids in the Regular Bipyramid & Edge Length of Base of Regular Bipyramid is the length of the straight line connecting any two adjacent base vertices of the Regular Bipyramid.

How to calculate Surface to Volume Ratio of Regular Bipyramid?

Surface to Volume Ratio of Regular Bipyramid formula is defined as the numerical ratio of the total surface area of the Regular Bipyramid to the volume of the Regular Bipyramid is calculated using Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt(Half Height of Regular Bipyramid^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(2/3*Edge Length of Base of Regular Bipyramid*Half Height of Regular Bipyramid). To calculate Surface to Volume Ratio of Regular Bipyramid, you need Number of Base Vertices of Regular Bipyramid (n), Half Height of Regular Bipyramid (h_Half) & Edge Length of Base of Regular Bipyramid (l_e(Base)). With our tool, you need to enter the respective value for Number of Base Vertices of Regular Bipyramid, Half Height of Regular Bipyramid & Edge Length of Base of Regular Bipyramid 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 Regular Bipyramid?

In this formula, Surface to Volume Ratio of Regular Bipyramid uses Number of Base Vertices of Regular Bipyramid, Half Height of Regular Bipyramid & Edge Length of Base of Regular Bipyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Regular Bipyramid = (4*tan(pi/Number of Base Vertices of Regular Bipyramid)*sqrt((Total Height of Regular Bipyramid/2)^2+(1/4*Edge Length of Base of Regular Bipyramid^2*(cot(pi/Number of Base Vertices of Regular Bipyramid))^2)))/(1/3*Edge Length of Base of Regular Bipyramid*Total Height of Regular Bipyramid)

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