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Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((Side A^2)+(Side A*(sqrt((4*((Side^2)-((Side A^2)/2)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2))))
r = ((a^2)+(a*(sqrt((4*((s^2)-((a^2)/2)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/2))))
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)
Side - The side 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)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((a^2)+(a*(sqrt((4*((s^2)-((a^2)/2)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/2)))) --> ((8^2)+(8*(sqrt((4*((9^2)-((8^2)/2)))+(8^2)))))/((1/3)*(8^2)*(sqrt((9^2)-((8^2)/2))))
Evaluating ... ...
r = 1.29238475874627
STEP 3: Convert Result to Output's Unit
1.29238475874627 Hundred --> No Conversion Required
FINAL ANSWER
1.29238475874627 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
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go
Area of a Square when side is given
area = (Side A)^2 Go
Volume of a Cube
volume = Side^3 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 Edge length (e) & Height (h) is missing Formula

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

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 Edge length (e) & Height (h) is missing?

Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing calculator uses surface_to_volume_ratio = ((Side A^2)+(Side A*(sqrt((4*((Side^2)-((Side A^2)/2)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2)))) to calculate the surface to volume ratio, The Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) 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 Edge length (e) & Height (h) is missing using this online calculator? To use this online calculator for Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing, enter Side A (a) and Side (s) and hit the calculate button. Here is how the Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing calculation can be explained with given input values -> 1.292385 = ((8^2)+(8*(sqrt((4*((9^2)-((8^2)/2)))+(8^2)))))/((1/3)*(8^2)*(sqrt((9^2)-((8^2)/2)))).

FAQ

What is Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing?
The Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing 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*((s^2)-((a^2)/2)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/2)))) or surface_to_volume_ratio = ((Side A^2)+(Side A*(sqrt((4*((Side^2)-((Side A^2)/2)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2)))). 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 The side 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.
How to calculate Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing?
The Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) 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 = ((Side A^2)+(Side A*(sqrt((4*((Side^2)-((Side A^2)/2)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Side^2)-((Side A^2)/2)))). To calculate Surface-to-volume ratio of Square Pyramid given Edge length (e) & Height (h) is missing, you need Side A (a) and Side (s). With our tool, you need to enter the respective value for Side A and Side 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 Side. 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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