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Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt(((Side A^2)/2)+(Height^2))
s = sqrt(((a^2)/2)+(h^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)
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
s = sqrt(((a^2)/2)+(h^2)) --> sqrt(((8^2)/2)+(12^2))
Evaluating ... ...
s = 13.2664991614216
STEP 3: Convert Result to Output's Unit
13.2664991614216 Meter --> No Conversion Required
FINAL ANSWER
13.2664991614216 Meter <-- Side
(Calculation completed in 00.017 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

Side of a regular polygon when area is given
side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides) Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2 Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2 Go
Side of a rhombus when diagonal and angle are given
side = Diagonal/sqrt(2+2*cos(Half angle between sides)) Go
Side of a rhombus when diagonal and half-angle are given
side = Diagonal/(2*cos(Angle Between Sides)) Go
Side of a Rhombus when diagonals are given
side = sqrt(Diagonal 1^2+Diagonal 2^2)/2 Go
Side length of a Right square pyramid when volume and height are given
side = sqrt((3*Volume)/Height) Go
Side of a regular polygon when perimeter is given
side = Perimeter of Regular Polygon/Number of sides Go
Side of a rhombus when area and inradius are given
side = Area/(2*Inradius) Go
Side of a rhombus when perimeter is given
side = Perimeter/4 Go
Side of Largest Cube that can be inscribed within a right circular cylinder of height h
side = Height Go

Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) Formula

side = sqrt(((Side A^2)/2)+(Height^2))
s = sqrt(((a^2)/2)+(h^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 Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)?

Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) calculator uses side = sqrt(((Side A^2)/2)+(Height^2)) to calculate the Side, Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)) formula is defined as a straight line connecting two adjacent vertices of square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) . Side and is denoted by s symbol.

How to calculate Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) using this online calculator? To use this online calculator for Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h), enter Side A (a) and Height (h) and hit the calculate button. Here is how the Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) calculation can be explained with given input values -> 13.2665 = sqrt(((8^2)/2)+(12^2)).

FAQ

What is Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)?
Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)) formula is defined as a straight line connecting two adjacent vertices of square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) and is represented as s = sqrt(((a^2)/2)+(h^2)) or side = sqrt(((Side A^2)/2)+(Height^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 Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)?
Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h)) formula is defined as a straight line connecting two adjacent vertices of square Pyramid. Where, side = Edge length (e) and side_a = Edge length of the base (a) is calculated using side = sqrt(((Side A^2)/2)+(Height^2)). To calculate Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h), 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 Side?
In this formula, Side uses Side A and Height. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side = Height
  • side = Area/(2*Inradius)
  • side = sqrt(Diagonal 1^2+Diagonal 2^2)/2
  • side = Perimeter/4
  • side = Diagonal/sqrt(2+2*cos(Half angle between sides))
  • side = Diagonal/(2*cos(Angle Between Sides))
  • side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2
  • side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2
  • side = Perimeter of Regular Polygon/Number of sides
  • side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides)
  • side = sqrt((3*Volume)/Height)
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