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Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Slant Height^2)-((Side A^2)/4))))
r = ((a^2)+((a)*(sqrt((4*((s^2)-((a^2)/4)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/4))))
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)
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)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Slant Height: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((a^2)+((a)*(sqrt((4*((s^2)-((a^2)/4)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/4)))) --> ((8^2)+((8)*(sqrt((4*((5^2)-((8^2)/4)))+(8^2)))))/((1/3)*(8^2)*(sqrt((5^2)-((8^2)/4))))
Evaluating ... ...
r = 2.25
STEP 3: Convert Result to Output's Unit
2.25 Hundred --> No Conversion Required
FINAL ANSWER
2.25 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
Radius of Inscribed Circle
radius_of_inscribed_circle = sqrt((Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)/Semiperimeter Of Triangle ) Go
Area of Triangle when semiperimeter is given
area_of_triangle = sqrt(Semiperimeter Of Triangle *(Semiperimeter Of Triangle -Side A)*(Semiperimeter Of Triangle -Side B)*(Semiperimeter Of Triangle -Side C)) Go
side b of a triangle
side_b = sqrt(Side A^2+Side C^2-2*Side A*Side C*cos(Angle B)) Go
Perimeter of a Right Angled Triangle
perimeter = Side A+Side B+sqrt(Side A^2+Side B^2) Go
Radius of circumscribed circle
radius_of_circumscribed_circle = (Side A*Side B*Side C)/(4*Area Of Triangle) Go
Perimeter of Triangle
perimeter_of_triangle = Side A+Side B+Side C Go
Perimeter of a Parallelogram
perimeter = 2*Side A+2*Side B Go
Perimeter of a Kite
perimeter = 2*(Side A+Side B) Go
Perimeter of an Isosceles Triangle
perimeter = Side A+2*Side B 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 given Slant height (s) and Height (h) is missing Formula

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

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 given Slant height (s) and Height (h) is missing?

Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing calculator uses surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Slant Height^2)-((Side A^2)/4)))) to calculate the surface to volume ratio, The Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and 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 (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing using this online calculator? To use this online calculator for Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing, enter Side A (a) and Slant Height (s) and hit the calculate button. Here is how the Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing calculation can be explained with given input values -> 2.25 = ((8^2)+((8)*(sqrt((4*((5^2)-((8^2)/4)))+(8^2)))))/((1/3)*(8^2)*(sqrt((5^2)-((8^2)/4)))).

FAQ

What is Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing?
The Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and 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)/4)))+(a^2)))))/((1/3)*(a^2)*(sqrt((s^2)-((a^2)/4)))) or surface_to_volume_ratio = ((Side A^2)+((Side A)*(sqrt((4*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Slant Height^2)-((Side A^2)/4)))). 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 Slant Height is the height of a cone from the vertex to the periphery (rather than the center) of the base.
How to calculate Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing?
The Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and 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*((Slant Height^2)-((Side A^2)/4)))+(Side A^2)))))/((1/3)*(Side A^2)*(sqrt((Slant Height^2)-((Side A^2)/4)))). To calculate Surface-to-volume ratio (A/V) of Square Pyramid given Slant height (s) and Height (h) is missing, you need Side A (a) and Slant Height (s). With our tool, you need to enter the respective value for Side A and Slant 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 Slant 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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