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Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) Solution

STEP 0: Pre-Calculation Summary
Formula Used
slant_height = sqrt(((Side A^2)/4)+(((((Area-Side A^2)/Side A)^2)-(Side A^2))/4))
s = sqrt(((a^2)/4)+(((((A-a^2)/a)^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)
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Side A: 8 Meter --> 8 Meter No Conversion Required
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = sqrt(((a^2)/4)+(((((A-a^2)/a)^2)-(a^2))/4)) --> sqrt(((8^2)/4)+(((((50-8^2)/8)^2)-(8^2))/4))
Evaluating ... ...
s = 0.875
STEP 3: Convert Result to Output's Unit
0.875 Meter --> No Conversion Required
FINAL ANSWER
0.875 Meter <-- Slant Height
(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

Slant Height of Considered Point when Unit Pressure is Given
slant_height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit pressure))^(1/5) Go
First slant line of cut cuboid given second edge and edge rest
slant_height = sqrt((First missing part^2)+((Side B-Second edge rest)^2)) Go
First slant line of cut cuboid given first edge and edge rest
slant_height = sqrt(((Side A-First edge rest)^2)+(Second missing part^2)) Go
Slant height (s) of Square Pyramid given given Edge length (e) and Height (h)
slant_height = sqrt((Height^2)+(((Side^2-Height^2)*2)/4)) Go
Slant height of a Right square pyramid when volume and side length are given
slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2) Go
Slant height of Frustum of right circular cone
slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2) Go
Slant Height of Frustum
slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2) Go
Slant height (s) of Square Pyramid given Edge length of the base (a) and Height (h)
slant_height = sqrt(((Side A^2)/4)+(Height^2)) Go
Slant height of a Right square pyramid
slant_height = sqrt(Height^2+Length^2/4) Go
Slant Height of cone
slant_height = sqrt(Radius 1^2+Height^2) Go
Slant Height of Right circular cone
slant_height = sqrt(Height^2+Radius^2) Go

Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) Formula

slant_height = sqrt(((Side A^2)/4)+(((((Area-Side A^2)/Side A)^2)-(Side A^2))/4))
s = sqrt(((a^2)/4)+(((((A-a^2)/a)^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 Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a)?

Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) calculator uses slant_height = sqrt(((Side A^2)/4)+(((((Area-Side A^2)/Side A)^2)-(Side A^2))/4)) to calculate the Slant Height, The Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) formula is defined as the distance measured along a lateral face from the base to the apex along the "center" of the face. Slant Height and is denoted by s symbol.

How to calculate Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) using this online calculator? To use this online calculator for Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a), enter Side A (a) and Area (A) and hit the calculate button. Here is how the Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) calculation can be explained with given input values -> 0.875 = sqrt(((8^2)/4)+(((((50-8^2)/8)^2)-(8^2))/4)).

FAQ

What is Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a)?
The Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) formula is defined as the distance measured along a lateral face from the base to the apex along the "center" of the face and is represented as s = sqrt(((a^2)/4)+(((((A-a^2)/a)^2)-(a^2))/4)) or slant_height = sqrt(((Side A^2)/4)+(((((Area-Side A^2)/Side A)^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 The area is the amount of two-dimensional space taken up by an object.
How to calculate Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a)?
The Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a) formula is defined as the distance measured along a lateral face from the base to the apex along the "center" of the face is calculated using slant_height = sqrt(((Side A^2)/4)+(((((Area-Side A^2)/Side A)^2)-(Side A^2))/4)). To calculate Slant height (s) of Square Pyramid given Surface area (A) and Edge length of the base (a), you need Side A (a) and Area (A). With our tool, you need to enter the respective value for Side A and Area 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 Slant Height?
In this formula, Slant Height uses Side A and Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • slant_height = sqrt(Radius 1^2+Height^2)
  • slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2)
  • slant_height = sqrt(Height^2+Length^2/4)
  • slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2)
  • slant_height = sqrt(Height^2+Radius^2)
  • slant_height = sqrt(Height^2+(Radius 1-Radius 2)^2)
  • slant_height = sqrt(((Side A-First edge rest)^2)+(Second missing part^2))
  • slant_height = sqrt((First missing part^2)+((Side B-Second edge rest)^2))
  • slant_height = ((3*Superimposed load*(Distance between pipe and fill)^3)/(2*pi*Unit pressure))^(1/5)
  • slant_height = sqrt(((Side A^2)/4)+(Height^2))
  • slant_height = sqrt((Height^2)+(((Side^2-Height^2)*2)/4))
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