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Surface-to-volume ratio (A/V) of Square Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*(Height^2))+(Side A^2)))))/((1/3)*(Side A^2)*Height)
r = ((a^2)+((a)*(sqrt((4*(h^2))+(a^2)))))/((1/3)*(a^2)*h)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side A - Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((a^2)+((a)*(sqrt((4*(h^2))+(a^2)))))/((1/3)*(a^2)*h) --> ((8^2)+((8)*(sqrt((4*(12^2))+(8^2)))))/((1/3)*(8^2)*12)
Evaluating ... ...
r = 1.0405694150421
STEP 3: Convert Result to Output's Unit
1.0405694150421 Hundred --> No Conversion Required
FINAL ANSWER
1.0405694150421 Hundred <-- surface to volume ratio
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Area of a Triangle when sides are given
area = sqrt((Side A+Side B+Side C)*(Side B+Side C-Side A)*(Side A-Side B+Side C)*(Side A+Side B-Side C))/4 Go
Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height Go
Area of a Square when side is given
area = (Side A)^2 Go

11 Other formulas that calculate the same Output

surface-volume-ratio of triakis tetrahedron given area
surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area))) Go
Surface-to-volume ratio (A/V) given side of Rhombic Triacontahedron
surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5))))) Go
surface-volume-ratio of triakis tetrahedron given volume
surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3)) Go
surface-volume-ratio of triakis tetrahedron given height
surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given edge length
surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A) Go
Surface-to-volume ratio (A/V) of triakis tetrahedron given edge length of tetrahedron(a)
surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2)) Go
surface-volume-ratio of triakis tetrahedron given Edge length of pyramid(b)
surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius
surface_to_volume_ratio = (6/(sqrt(3)*Radius)) Go
surface-volume-ratio of triakis tetrahedron given Midsphere radius
surface_to_volume_ratio = sqrt(11)/Radius Go
Surface-to-volume ratio of Rhombic Dodecahedron given Insphere radius
surface_to_volume_ratio = (3/Radius) Go
surface-volume-ratio of triakis tetrahedron given Insphere radius
surface_to_volume_ratio = 3/Radius Go

Surface-to-volume ratio (A/V) of Square Pyramid Formula

surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*(Height^2))+(Side A^2)))))/((1/3)*(Side A^2)*Height)
r = ((a^2)+((a)*(sqrt((4*(h^2))+(a^2)))))/((1/3)*(a^2)*h)

What is Square Pyramid?

In geometry, a square pyramid is a pyramid having a square base. If the apex is perpendicularly above the center of the square, it is a right square pyramid, and has C₄ᵥ symmetry. If all edges are equal, it is an equilateral square pyramid, the Johnson solid J₁

How to Calculate Surface-to-volume ratio (A/V) of Square Pyramid?

Surface-to-volume ratio (A/V) of Square Pyramid calculator uses surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*(Height^2))+(Side A^2)))))/((1/3)*(Side A^2)*Height) to calculate the surface to volume ratio, The Surface-to-volume ratio (A/V) of Square Pyramid formula is defined as what part of total volume of Square Pyramid is the total surface area. surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio (A/V) of Square Pyramid using this online calculator? To use this online calculator for Surface-to-volume ratio (A/V) of Square Pyramid, enter Side A (a) and Height (h) and hit the calculate button. Here is how the Surface-to-volume ratio (A/V) of Square Pyramid calculation can be explained with given input values -> 1.040569 = ((8^2)+((8)*(sqrt((4*(12^2))+(8^2)))))/((1/3)*(8^2)*12).

FAQ

What is Surface-to-volume ratio (A/V) of Square Pyramid?
The Surface-to-volume ratio (A/V) of Square Pyramid formula is defined as what part of total volume of Square Pyramid is the total surface area and is represented as r = ((a^2)+((a)*(sqrt((4*(h^2))+(a^2)))))/((1/3)*(a^2)*h) or surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*(Height^2))+(Side A^2)))))/((1/3)*(Side A^2)*Height). Side A is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface-to-volume ratio (A/V) of Square Pyramid?
The Surface-to-volume ratio (A/V) of Square Pyramid formula is defined as what part of total volume of Square Pyramid is the total surface area is calculated using surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*(Height^2))+(Side A^2)))))/((1/3)*(Side A^2)*Height). To calculate Surface-to-volume ratio (A/V) of Square Pyramid, you need Side A (a) and Height (h). With our tool, you need to enter the respective value for Side A and Height 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?
In this formula, surface to volume ratio uses Side A and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5)))))
  • surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area)))
  • surface_to_volume_ratio = 3/Radius
  • surface_to_volume_ratio = sqrt(11)/Radius
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3))
  • surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A)
  • surface_to_volume_ratio = (3/Radius)
  • surface_to_volume_ratio = (6/(sqrt(3)*Radius))
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