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Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((4*((Slant Height^2)-(Height^2)))+((sqrt(2*((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(sqrt(2*((Slant Height^2)-(Height^2))))))))/((1/3)*(4*((Slant Height^2)-(Height^2)))*Height)
r = ((4*((s^2)-(h^2)))+((sqrt(2*((s^2)-(h^2))))*(sqrt((4*(h^2))+(sqrt(2*((s^2)-(h^2))))))))/((1/3)*(4*((s^2)-(h^2)))*h)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Slant Height - Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base. (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
Slant Height: 5 Meter --> 5 Meter No Conversion Required
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((4*((s^2)-(h^2)))+((sqrt(2*((s^2)-(h^2))))*(sqrt((4*(h^2))+(sqrt(2*((s^2)-(h^2))))))))/((1/3)*(4*((s^2)-(h^2)))*h) --> ((4*((5^2)-(12^2)))+((sqrt(2*((5^2)-(12^2))))*(sqrt((4*(12^2))+(sqrt(2*((5^2)-(12^2))))))))/((1/3)*(4*((5^2)-(12^2)))*12)
Evaluating ... ...
r = NaN
STEP 3: Convert Result to Output's Unit
NaN Hundred --> No Conversion Required
FINAL ANSWER
NaN Hundred <-- surface to volume ratio
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

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
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height 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

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 of Square Pyramid given Slant height(s) & Edge length of base(a) is missing Formula

surface_to_volume_ratio = ((4*((Slant Height^2)-(Height^2)))+((sqrt(2*((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(sqrt(2*((Slant Height^2)-(Height^2))))))))/((1/3)*(4*((Slant Height^2)-(Height^2)))*Height)
r = ((4*((s^2)-(h^2)))+((sqrt(2*((s^2)-(h^2))))*(sqrt((4*(h^2))+(sqrt(2*((s^2)-(h^2))))))))/((1/3)*(4*((s^2)-(h^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 of Square Pyramid given Slant height(s) & Edge length of base(a) is missing?

Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing calculator uses surface_to_volume_ratio = ((4*((Slant Height^2)-(Height^2)))+((sqrt(2*((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(sqrt(2*((Slant Height^2)-(Height^2))))))))/((1/3)*(4*((Slant Height^2)-(Height^2)))*Height) to calculate the surface to volume ratio, The Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing 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 of Square Pyramid given Slant height(s) & Edge length of base(a) is missing using this online calculator? To use this online calculator for Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing, enter Slant Height (s) and Height (h) and hit the calculate button. Here is how the Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing calculation can be explained with given input values -> NaN = ((4*((5^2)-(12^2)))+((sqrt(2*((5^2)-(12^2))))*(sqrt((4*(12^2))+(sqrt(2*((5^2)-(12^2))))))))/((1/3)*(4*((5^2)-(12^2)))*12).

FAQ

What is Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing?
The Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing formula is defined as what part of total volume of Square Pyramid is the total surface area and is represented as r = ((4*((s^2)-(h^2)))+((sqrt(2*((s^2)-(h^2))))*(sqrt((4*(h^2))+(sqrt(2*((s^2)-(h^2))))))))/((1/3)*(4*((s^2)-(h^2)))*h) or surface_to_volume_ratio = ((4*((Slant Height^2)-(Height^2)))+((sqrt(2*((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(sqrt(2*((Slant Height^2)-(Height^2))))))))/((1/3)*(4*((Slant Height^2)-(Height^2)))*Height). Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base and Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing?
The Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing formula is defined as what part of total volume of Square Pyramid is the total surface area is calculated using surface_to_volume_ratio = ((4*((Slant Height^2)-(Height^2)))+((sqrt(2*((Slant Height^2)-(Height^2))))*(sqrt((4*(Height^2))+(sqrt(2*((Slant Height^2)-(Height^2))))))))/((1/3)*(4*((Slant Height^2)-(Height^2)))*Height). To calculate Surface-to-volume ratio of Square Pyramid given Slant height(s) & Edge length of base(a) is missing, you need Slant Height (s) and Height (h). With our tool, you need to enter the respective value for Slant Height 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 Slant Height 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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