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

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✖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.ⓘ Side A [a]			+10% -10%
✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]			+10% -10%

✖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.ⓘ Edge length (e) of Square Pyramid given Edge length of the base (a) and Height (h) [s]

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Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 1000+ more calculators!

Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1000+ more calculators!

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)

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

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area = ((Base A+Base B)/2)*Height Go

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volume = pi*(Radius)^2*Height Go

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volume = (1/3)*Side^2*Height Go

Area of a Triangle when base and height are given

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Area of a Parallelogram when base and height are given

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Area of a Square when side is given

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< 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

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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

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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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